One of the things about playing arcade games is that you don't really have much guidance to tell you the ins and outs of the game. So, when I got the Super NES version of Turtles in Time, I was surprised to learn that there was a move in the game that I didn't know about, a shoulder tackle. The instructions in the manual were kind of vague, but I was eventually able to figure out what to do, and I'm going to share that with you today.
To do it, you first start running (depending on how your game is set up, either by double-tapping a direction or just holding it in for a few seconds)
Then, while running, press the Jump Button to do a handspring, which doesn't actually do any damage to anyone
Then, the instant that completes, press the Attack Button to do your shoulder tackle!
And, since it's kind of tough to follow along with just my description, I've provided an animated .gif for you here.
And, yes, this does work on the arcade version.