It's not so much an issue with console gaming as the direction games have taken. I will say, though, that Skyrim is a horrible comp for BG, especially considering Skyrim had its own 1990s analog in Daggerfall. Better comparisons would be to KOTOR, Jade Empire, Dragon Age, and Mass Effect. I still think BG has a lot more going for it in that you had the 6-character parties instead of 3 and the worlds didn't seem to be *quite* as Final Fantasy-style "go from point A to point B" as the later Bioware games have been. Nonetheless, the voice acting in those games has been pretty quality and the characters have been pretty decent, although I can't think of any one character who stands out in my mind as much as Minsc or for that matter Jaheira, her husband, the ninja guy from BG2, or even those evil guys you meet right at the beginning of BG (although they can get annoying if you keep them for too long). The only character from *any* of those games I can really classify as memorable in that same class was the witch in DA:O.
You're right that that's not a sign that video games can't be made like that anymore. It's just a sign that game studios have moved away from that a little bit (and, really, it was just BG, BG2, and Planescape that had these elements; Icewind Dale certainly did not). If people buy those kinds of games, I imagine they'd move back.