I started writing a comment to this post by Lux, but it got too long, so I thought I'd make it a post instead.
Thanks for posting those clips! I saw them last night and have been thinking about whether it would have survived if it aired, and my guess is that it wouldn't.
The great thing about the first season (and second) is that she's really personally involved--it's not just a job. What's shown in these clips is that it is just a job--a job she got because (if you watched the three seasons) she was really, really good at it. And her partner nails it when he says something like,
You laugh because you're not sure. You're used to being the smartest person in the room.
Does that mean that he's her match though? I don't think so--I think he's much too much of a pretty boy. Her jaw is squarer than his--not a match. And that other guy--not as pretty as Logan or even Piz. Just weird looking and not at all compelling. A guy like Piz would have made a good partner--attractive but a bit rough looking. The other guy had to be pretty like Logan.
It fails too because they should have at least had a glimpse of what happened to the other characters--like she talks to her dad or something. Does he ever become sheriff again?
I think the thing that failed the die-hard first and second season fans (and ultimately were happy that the show ended) in the third season is the lack of personality the mysteries had. On YouTube there's a good talk with Rob Thomas, Kristen Bell, and Jason Dohring. (There are multiple parts--he sounds a bit like Dean Gopin teaching art history I think.) He describes many decisions--and one of them is to tie Veronica closer to the school bus murder since at first it just seems like she's looking into without much motive.
Nevertheless, I would have watched anything Veronica Mars related because it was so freakin awesome.
Also, to comment on her choice of upcoming movies--the Apatow movie according to Seth Rogen at the New Yorker festival seems a bit up in the air. (The New Yorker talk goes through how Rogen and Apatow meet--Freaks & Geeks, Undeclared, 40 Year Old Virgin, Knocked-Up, and Superbad. A perfect lecture--though someone should've fixed the mike on Seth--the man could project.) At least there's that one set in Hawaii that looks kind of interesting too.