Nintendo has said that they have no intention of designing games for mobile platforms for iOS. Just because Nintendo won't make iPhone games doesn't mean there aren't similar types of games on the App Store, though. One game in particular, Super Jump World, seems to do an incredible job of mimicking Super Mario Bros.
Oh wait, it's the same game!
Yes, Super Jump World lifts entire sections of the NES classic and subs in a leprechaun for Mario, beetles for Goombas and clovers for mushrooms: it's the St Patty's Day edition of Mario we always wanted! (Well the one in my head has more beer in it, but ok.) It is not an exact duplicate, but it uses far too much of the game to be considered derivative or even a clone.
Making knockoffs of popular games for the iPhone is not exactly new territory, but it takes a special kind of... let's say "daring", to steal so much from a game and claim their version was "inspired" by it.
If you're interested, I'd go get right now but it's only a matter of time before someone at Nintendo figures out what's going on and shuts this thing down.