I'm relatively new to the community , and don't know a LOT about a BUNCH of games , so I'm sure there is a more nuanced answer...
But if you hadn't thought of it, I'd recommend taking a closer look at many of the other Mario games. Many of them share similar mechanics! Of course, they develop over time... but essentially, all of them require moving the man with the red hat quickly, and his speed is dynamic and needs to be treated with care :) I think super mario bros. 3 is actually pretty comparable to SMW. The concept of P Speed may be the most similar, and I think the fluidity in the movement is similar to SMW. SMB1 has similar concept, yet clunkier... SMB2 is a bit of different breed... Yoshi's Island has some more advanced mechanics... SM64 is even more complex... but all require moving the guy.
past that though, mario is such a staple for platforming mechanics, that the argument could be made that MOST platformers have something to owe to how mario is played. If you find a game, 2D or 3D, that use only the character to perform the tasks, it very well could satisfy the itch that comes from mario too :)
