I always considered the Yoshi from Smash the major one from Super Mario World 2(a non-generic one and Baby Mario's caretaker). And arguably the same Green Yoshi from Yoshi's Story, but those are hard to say if they're important ones or not.
And they did? Huh. Same with Pokemon Trainer. The whole Red thing is not entirely accurate as Sakurai talks about only the class. It's just Red's design. From what I can gather, he's just a combination of Red/Ash/Manga!Red overall. The fact he has voice acting and the fact that his attitude is very similar to Ash's praise towards his Pokemon makes me think that.
Or to clarify, he's based upon the overall Red/Ash character, but literally isn't him(as the trophy practically confirms that Sakurai meant the Pokemon Trainer class). Also, a lot of PT's base costumes(not the Pokemon themselves, but HIM) covers some other Trainers.
Getting back to generic races, Pichu probably was one too. Lucario is slightly harder to say, but I'm pretty sure any Lucario can read auras, so it wasn't the one from the movie anyway.