Count me in, thanks!
With regards to sequels, remakes, reboots - it varies both from title to title and from individual opinion to opinion.
I'm a fan of the Tomb Raider game series for example and while I've briefly played each game in the series, the only one I've completed start to finish to date is the first game (not including its expansion). Second to that the one I've had the 2nd most amount of game time with is the new 2013 reboot and I personally think that the new game standing on it's own right as if it were the first Tomb Raider game to ever exist is absolutely stunning. The gameplay, the graphics and effects, the immersiveness, huge game world - it's just fantastic in my eyes. It has some weak spots too (QTE's) but overall I'm blown away by the title. If I take it in consideration of the entire game series as a whole, I think it is the strongest title in the franchise to date as well. So in this case I'd have to say that a game reboot was a big positive overall.
When it comes to remakes, I think they have their merits as well but like anything there is no black or white about it, it will vary from game to game and from one gamer's opinion to the next as different people expect different things. I generally have an appreciation for remakes unless they are done so terribly that they just don't do justice to the original game, but I think the successes outweigh the failures in this regard.
Sequels - again, it varies, but I generally find them to be good overall. It's a bit of a challenge because if people love a game to death and they make a sequel and make it exactly the same, some people will be upset that it is just basically new levels/missions of the same game engine and concept with nothing new to offer. But if they change things, then some people will be upset that they changed things and it isn't the same game. :) So there's no way to please everyone really and I don't think they should ever even try to do that. Game devs should just have their own artistic vision and follow it through and let their resulting game be judged on its own merits. Some game sequels will be loved and some will be hated, but most of them will be both simultaneously. Overall if I like a particular game, I've found that I usually like the sequels also - even if there are individual things I may dislike about how the given franchise has evolved/changed over time.