I'm excited because its a new Spider-Man movie, but I can't say I'd be any less so if it was a continuation with Tobey Maguire, Raimi, etc. I'm fine with the new cast, and don't have a problem with it at all, but I sort of wish they were skipping the "origin" again. I think even the general audience is abundantly clear with how Peter Parker became Spider-Man at this point. That said, at least they are using a new villain and not rehashing someone we saw in Raimi's trilogy (at least not yet). I don't know if studios are a bit wary of just switching actors in and out after what happened with the original Batman movies (Keaton/Kilmer/Clooney) - although we know that isn't the biggest factor in the declining quality there.
Like Brent mentioned, I do like that this new film is getting to the basics with having Gwen Stacy come first and MJ later (I'm guessing anyways). I know I'm really looking forward to it, but I sort of look at the comic book movies through the eyes of a 10 year old. When the first Batman movie came out, I really liked it and was always hoping we'd see a Spidey movie someday - let alone things like Cap, GL, Thor, etc.