The Falcon Punching, anti gravity racing pilot may not have a new game in his own series to star in at the moment, but he could at least have a cameo in Mario Kart.
Putting Captain Falcon in Mario Kart also actually makes a bit more sense than it does for other characters. How does Link even know how a Kart works? There were never any cars in Hyrule. At least Captain Falcon is from a racing game, and he'd fit right in on any course in a 200 CC circuit, although that still may be too slow for him.
Hopefully Captain Falcon will show us his moves in Mario Kart someday soon.