Surely though, Mario wiki has it covered.
See: Donkey Kong Wiki
Sure, but there's a bunch of DK games (DK Country series, DK Land series, DK64, Donkey Konga series, DK: King of Swing, Diddy Kong Racing, DK Barrel Blast/Jet Race, etc) that simply
don't feature Mario characters. They're related, since they come from a common root and DK characters sometimes appear in Mario spin-offs (e.g., Mario Kart, Mario Party), sure; but there's a separate core.
Is there that core for Yoshi? The core Yoshi games (Yoshi's Safari, SMW: Yoshi's Island, Yoshi's Story, Yoshi's Island DS; even spin-offs like Yoshi/Mario & Yoshi and Yoshi Touch & Go,) still feature Mario characters (sometimes as Baby versions) after all.
Ultimately, to me, DK games are a franchise that crossover with Mario games, while Yoshi games are just a subset of Mario games.