I'm not sure, but I made a list
GC had
- SW Rogue Squad II
- Need For Speed (multiple games)
- Madden (annual)
- Fifa (annual)
- NBA 2K (annual)
- Tiger Woods (annual)
- James Bond 007
- Lego Star Wars
- Splinter Cell (multiple games)
- Prince of Persia (multiple games)
- Ghost Recon (multiple games)
DS had
- Cooking Mama
- COD (annual)
- Lego Star Wars
- Lego Indy
- Lego Harry Potter
- Sims (multiple games)
- Civilization Revolution
- Guitar Hero
- Imagine: Babyz/Petz (GAF doesn't like it, but I think it was a biggish franchise)
- Scribblenauts (multiple games)
- Carnival Games
- GTA: CW
- Madden (not every year)
- Fifa (not every year)
- Tiger Woods PGA (not every year)
- Need for Speed (multiple games)
- Zhuzhu pets
- Lego Pirates
- Splinter Cell
- Assassin's Creed (multiple games)
- Prince of Persia (multiple games)
- Brothers in Arms
- Rayman Raving Rabbids ( handheld versions of Wii releases)
Wii had
- Just Dance (multiple games)
- Red Steel (multiple games)
- Zumba
- Carnival Games (multiple games)
- Guitar Hero (multiple games)
- COD (multiple games)
- Lego Star Wars
- Boom Blox ( 2 games)
- de Blob ( one exclusive, the other shared with other platforms; the first one did almost a million WW)
- Grand Slam Tennis ( the first one; exclusive)
- Michael Jackson dancing game
- Epic Mickey (multiple games)
- Lego Indy
- Lego Batman
- Skylanders
- Rockband (multiple games)
- GoldenEye
- Sims
- Tiger Woods (annual)
- Fifa (annual)
- Madden (annual)
- Dead Space
- Rayman
- Rayman Raving Rabbids
- Lego Pirates
- Splinter Cell
- Brothers in Arms (multiple games)
3DS has
- Lego Star Wars
- Rayman
- Skylanders
- Cooking Mama
- Lego Pirates
- Sims (2 games)
- Fifa ( so far, annual)
- Madden
- Lego Harry Potter
- Lego Batman
- Splinter Cell
- Ghost Recon
- Angry Birds
- Scribblenauts
- Epic Mickey ( exclusive title)
- Rayman Raving Rabbids ( exclusive title)
- Castlevania: LOS ( it can be considered a Western title, IMHO)
- Carnival Games ( one title)
- Imagine ( at least one title)
I probably missed some games but I say in terms of western support, DS > GC and Wii > 3DS (for now).