I present to you a list of Capcom's DS and PSP games (according to GameFAQs), including known upcoming ones:
DS:
Gyakuten Saiban 4 (J)
Kabu Trader Shun (J)
Mega Man Battle Network 5: Double Team
Mega Man Star Force: Dragon (J)
Mega Man Star Force: Leo (J)
Mega Man Star Force: Pegasus (J)
Mega Man ZX
Phoenix Wright: Ace Attorney
Phoenix Wright: Ace Attorney - Justice for All
Resident Evil: Deadly Silence
Rockman ZX Advent (J)
Viewtiful Joe: Double Trouble
PSP:
Breath of Fire III
Capcom Classics Collection Reloaded
Capcom Classics Collection Remixed
Capcom Puzzle World
Darkstalkers Chronicle: The Chaos Tower
Devil May Cry
Finder Love: Hara Fumina - Futari no Futari de... (J)
Finder Love: Hoshino Aki - Nangoku Trouble (J)
Finder Love: Kudou Risa - First Shoot wa Kimi to (J)
Gundam Seed: Rengou vs. Z.A.F.T. Portable
Mega Man: Maverick Hunter X
Mega Man: Powered Up
Monster Hunter Freedom
Monster Hunter Portable 2nd
Power Stone Collection
RockMan Dash 2
Street Fighter Alpha 3 MAX
Ultimate Ghosts 'n Goblins
Viewtiful Joe: Red Hot Rumble
Mega Man Legends (cancelled)
12 DS games and 19 PSP games (obviously, I'm not counting the cancelled MML).
Breakdown:
On the DS...are the three Mega Man Star Force games similar to the Mega Man Battle Network and Pokémon games in that they're different versions of essentially the same game? That cuts down the real count of distinct games by two, and MMSF is a spinoff of MMBN from what I gather. MMBN5 is too similar to the GBA game, the Phoenix Wright games are ports of the first two Gyakuten Saiban (J) games on the GBA, and RE: Deadly Silence is another Resident Evil remake. That leaves us with a spinoff and its sequel (Mega Man ZX and ZX Advent), a sequel/spinoff (Gyakuten Saiban 4), a spinoff (VJ: Double Trouble), and whatever the heck Kabu Trader Shun (J) is.
On the PSP...remakes and ports include Breath Of Fire III, Mega Man: Maverick Hunter X, Mega Man: Powered Up, Street Fighter Alpha 3 MAX, and Ultimate Ghosts and Goblins. I would guess that Devil May Cry, Viewtiful Joe: Red Hot Rumble, and and the cancelled Mega Man Legends are as well. I'm not sure if Darkstalkers Chronicle is a remake or a compilation. Compilations include Capcom Classics Collection Reloaded, Capcom Classics Collection Remixed, Capcom Puzzle World (I think), and Power Stone Collection. That leaves us a few, including three Japanese Finder Love games. What are they? They sound like a dating simulation, and I'd guess they were very similar, like Mega Man Star Force on the DS. I don't know what the Monster Hunter games are about, RockMan Dash 2 sounds like a sequel to yet another Mega Man spinoff.
Points:
-both handhelds have several remakes. Three of the four DS remakes are upgrades from the GBA, and therefore don't require much upgrading, they're more like ports. However, the Phoenix Wright games could be considered new for North Americans. The PSP's remakes are much more upgraded but typically are of more classic games.
-most of the other games are sequels and spinoffs. Very few original games or new franchises on either handheld.
-the PSP has more games overall, and considering that the PSP also has four or five compilations, it has even more.
Conclusion:
Capcom likes the PSP and that is evident by them producing more games for it, but does very little that is actually new for either handheld. Boo!
EDIT: Stupid smilies in Resident Evil and Viewtiful Joe's titles when abbreviated... >_<