I'm not sure what the defining factor is gonna be for this - I was gonna say characters you can create, but Mass Effect is on the list. Anyway I know this one will count so I'm going with it. Wizardry 8. This is one of my favorites. It's a kind of fantasy/sci-fi hybrid world, and mainly centers around dealing with the different races and factions on a planet. The end goal is pretty simple, though - "The ultimate aim of the game is to collect three artifacts and to place each on its pedestal in the final zone. This allows ascension to the Cosmic Circle, where the player becomes a god." (Wikipedia) It's not the most complicated of stories, but the NPC interaction offers kind of the meat of it.
Wizardry 8 has these races:
Dracon - Awesome dragon dudes.
Lizardmen - Awesome lizard dudes.
Mook - Kinda indefinable furry aliens.
Felpurr - Awesome cat dudes.
Rawulf - Awesome wolf dudes.
In addition there are other races that you can encounter, such as rat and rhino anthros. Some of them are recruitable to your party in extra character slots. MUCH better and more diverse character portraits than Legend of Grimrock, in my opinion.
Some portraits:
And here you can see the breadth of customization options:
There are a full 18 male and 18 female voices you can give to a character. Of course, this is mainly just for flavor, but I think it adds a little something to hear your dragon guy crack wise after a battle. Similar games tend to offer no voice, or more limited choices.
And I'm too tired to get to talk about it, but Wizardry 7 is pretty all right too: