On this subreddit I often see people ask where a specific champion goes after using a targeted mobility skill (e.g., where does Zed appear after his ult?). Often there is some level of discussion and debate.
After losing an important fight to a Leona during clash when she (to my surprise) appeared behind me after Zenith Blade, I decided to take my best attempt at making a list+videos for each enemy-targeted (the ones which are used directly on an enemy (as opposed to being used on the ground)) mobility skill in the game.
Summary
19 of the 37 mobility skills on this list move the champion directly towards their target. The champion ends the move on the same side of the target that they started on.
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(Start) ----------------------------- (End) --- (Target)
9 of the 37 mobility skills on this list move the champion through their target. The champion ends up on the opposite side of the target from where they started. They belong to Akali (her R1, not her E2), Irelia, Kled (his E2, not his R), Leona, Rek'Sai, Sett, Thresh, Vi, and Zed.
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(Start) --------------------------------------- (Target) --- (End)
9 are something else. See the details below. They belong to Camille, Diana, Elise, Fizz, Master Yi, Qiyana, Warwick, Yasuo, and Yone.
Details with videos
Akali - her E2 dashes directly towards the target and ends on the same side of the target she started from. Her R1 dashes through her target and ends on the opposite side she started from (note that it actually dashes a further distance if Akali is further from the target when she starts, but it always goes through the target to the opposite side). Her E1 and R2 are not targeted. Video
Amumu - his Q dashes directly towards the target. Video
Camille - it looks to me like Camille ult puts Camille directly on top of her target (not in front or behind). Video
Diana - if her target is at about maximum range, her E puts her on the same side of the target as where she started. If she is much closer, her E dashes through the target and puts her on the opposite side of the target from where she started Video
Ekko - his E dashes directly towards the target. Video
Elise - if her target is at about maximum range, her E puts her on the same side of the target as where she started. If her target is not near maximum range, her E puts her on the opposite side of the target from where she started Video
Evelynn - her empowered E dashes directly to the target. Video
Fizz - his Q moves him a fixed distance, so if he is not at maximum range he ends the dash behind his target. If he does start the Q from maximum range, then he sort of ends up on top of the target. In the video he always 'pops out' in a ?random? direction from the enemy training dummy, but Fizz's passive makes him permanently ghosted, so I doubt the pop-out part happens vs an actual champion. Video
Hecarim - his E dashes directly to the target and knocks it back. He ends up on the same side of the target that he was on when he started dashing. Video
Irelia - her Q dashes directly to the target and goes through it. She ends up on the opposite side form where she started. Video
Jax - his Q dashes directly to the target. Video
Kled - his E2 goes dashes directly towards the target and ends up on the opposite side of the target from where he started. his R goes directly to the target (and knocks it back). Video of E2, Video of R
Lee Sin - his Q dashes directly to the target. Video
Leona - her E dashes directly to the target and goes through it. She ends up on the opposite side of the target from where she started. Video
Maokai - his W dashes directly to the target and ends up almost on top of them. Video
Master Yi - after his Q, Yi reappears in front of the target based on the way they last moved (in general this is the way their model is facing, but there is an exception for Lucian's ult, for example). I also believe (but don't have a video to confirm) that if Yi's target dies before the alpha strike ends (e.g., if a friend killed the target) that Yi reappears at the same location he left from. Video - I recommend pausing and unpausing quickly to see that Yi ends up in front of the Renekton Bot. Thanks a lot to the people who wrote the helpful comments below for the help with this one. My original incorrect-against-real-people practice dummy tests/videos are in the comments if you're curious. There are tons of weird exception with alpha strike (an example someone commented), but I don't have any perfect/complete understanding of these exceptions (possibly bugs) quite yet.
Nocturne - his ult dashes directly to the target. Video
Pantheon - his W dashes directly to the target. Video
Poppy - her E dashes directly to her target and knocks her target back; she finishes on the same side of the target as she started on. Video
Qiyana - her E moves a fixed distance. If she is far the from the target she will end on the same side where she started. If she is closer to the target she will go directly through it and end up on the opposite side from where she started. Video
Quinn - her E knocks her target back and bit and then Quinn jumps back a fixed distance. She ends up on the same side of the target she was on when she started. Video
Rek'Sai - her ult moves her to the opposite side of the target from where she started. Video
Rengar - his passive and ult move him directly towards his target. Video
Sett - his ult knocks his target back and then moves him to the opposite side of the target from where he started. Video
Sylas - his W and his E2 both move him directly towards his target. The E2 is a skillshot, but it does move him if it hits the target. Video of W, Video of E2
Talon - his Q moves him directly towards his target. Video
Thresh - if he reactivates his Q he moves to the opposite side of the target from where he started. Video
Vi - her ult moves her to the opposite side of the target from where she started. Video
Warwick - if he doesn't hold the Q button down (at least with smart-casting - I don't know how regular casting works) he dashes directly towards the target. If he does hold the Q button down, he follows his target (even if they move/flash away) and ends on the opposite side of his target from where he started. His ult is not targeted. Video
Wukong - his E dashes directly towards the target. Video
Xin Zhao - his E dashes directly towards the target. Video
Yasuo - his ult typically puts him on the opposite side of his target from where he started, but if that would put him in tower range and landing in front of his target would not, he lands in front of his target instead. Video (helpful bonus video that isn't mine showing that sometimes this doesn't work as expected, but I couldn't personally recreate the behavior). And here is a bonus video showing that I cannot select where Yasuo goes based on where I put my cursor (in a Youtube comment someone suggested that cursor position mattered for more than just choosing a specific enemy).
Yone - his R isn't really champion-targeted, but it does have an interesting interaction if it hits a champion, so I'm adding it. If Yone does not hit an enemy he blinks to the end of the ult hitbox. If he does hit at least one enemy, he blinks 200 units past the last enemy struck. Check out the video though - it appears that Yone always ends up along the centerline of the hitbox (he does not move left or right in the hitbox to get directly behind a target that was on the edge of it). Video
Zed - his ult moves him to the opposite side of the target from where he started. Video. And here is a bonus video showing that it doesn't matter which way the target is actually facing since I've seen multiple times on this sub where people posit that this is how it actually works.
Misc notes
This work was done on patch 10.16.
I don't main any of these champions. My knowledge about this extends pretty much to what you see in the videos. I'll do my best to update if I learn more or add any that I realize are missing. If you know something that's not here and you feel like adding information in the comments, I appreciate it. Likewise if you can capture a video that disproves something I said (like if you can get Zed to appear in a different spot based on where the target is facing or if you can get Yasuo to appear in a different spot based on where you put your cursor) I would love if you don't mind sharing it.
I left the ally-targeted dashes off of this list (Rakan, Braum, etc). The much bigger use case in my experience is when you're trying to hit a mobile enemy that is jumping on you or one of your friends, not when an enemy is jumping to their own friend.
Note that some champions can select where they go with their mobility skill even when it feels champion-targeted. Katarina and Kai'sa are examples.
Teleport places the champion on the side of their target which is closest to the champion's own base. It does not matter where the champion teleported from. Video
Thanks for reading. glhf
lots of edits have been made based on helpful comments - y'all are awesome