I don't know how many people here own a Wii U, but the NES Remix series (1 & 2) is something I feel a TASer would pretty much enjoy off the bat. It essentially gives you challenges within select popular NES games, as well as mixing together some of them in new ways (Kirby breaking Mario blocks to collect coins?). Here's an example of a regular stage. This is the only level I have really tried to get my "best" time on (though there is a built in ranking system of 3 stars and an "A+" sort of thing, with 3 rainbow stars that makes my TASer OCD prevent me from continuing until I attain it!). It's just a regular Super Mario Bros. 3 Remix. Stage 2 in 6.3 seconds:
Link to video
Sadly this game doesn't have a leaderboards option, even for friends. So please, feel free to discuss stage strategies for both games, and post your best times for a little comparison and competition!