I can't believe
ASH Archaic Sealed Heat isn't in this list. come on, tons of CGI scenes, full CGI combat, it's just like how Golden Sun was on the GBA, except this one's on the DS. even on the 3DS it looks absolutely divine.
As for Soma Bringer... *iseewatudidthur*
and as for Kingdom Hearts, puzzle as a genre with nothing else is pretty misleading. that's like putting it up there with Crossword and Picross and Jewel Quest and Tangrams. I'd say Wiki was trolled. it's obviously an Action RPG, because a) it's action-oriented and combat is real-time, and b) it has tons of RPG elements in it, like levelling up, equipments, and even skill/stat matrices using Tetriminos. at most, it has puzzle elements, like triggering switches scattered around the map. heck, it even has very strong platforming elements.
so no, KingdomHearts=/=puzzle. and Wiki can be wrong. if you want something that's the other way around (a predominantly puzzle game with RPG elements), look at Puzzle Quest Warlords and Might and Magic Clash of Heroes. but even those titles don't classify as just "puzzle", as they're clearly hybrids.