When it comes to dungeon crawlers, Rogue springs to mind, and with it plenty "rogue-likes." However, there are others that differ significantly from the Rogue formula, allowing multiple-character parties that you create individually, a 3D perspective, and random battles. The only examples I have played are the two Etrian Odyssey games and Dark Spire. I think Class of Heroes is supposed to be similar, but I am waiting for the Go before getting a PSP.
I noticed Shining in the Darkness sort of fits the bill on VC, but the characters are ready-made. Creating your party gives a unique feeling of ownership or responsibility over the game, which is what I'm looking for. The review also makes it sound pretty bad, anyway, so... 
Anyway, can anyone name similar games? Or is there a name for this specific sub-genre that I could look up on my own? I thought maybe "3D dungeon crawler" would cover it, but that just brought up more rogue-likes, except with 3D third-person graphics. I tried "first-person dungeon crawler," but it didn't produce any solid results, either.
Etrian Odyssey is said to be inspired by older games, so I am assuming there are other games like it -- I just can't find them! Dark Spire's formulaic similarity only furthers my belief that this is a sub-genre of the dungeon crawler that I simply can't find the word to search for.

the DS version is better because of the control scheme