I think some fans will take new things just fine, as long as its done good.
Good change;
inFAMOUS:
The inFAMOUS series started with Cole, continued with Cole, and ended it with Cole. Cole dies and that's it, he's not gonna come back. So what will they do next? Well obviously, go forward to new characters. Thus we have Deslen, a new guy who's got powers. Only this time, he's actually enjoying his new powers and will do with them what Cole didn't do with them; have a little fun. This is a new thing that fans saw and fans like characters who can have a little fun. So, inFAMOUS second son is now being anticipated happily.
bad change;
DmC:
Now I like DmC and will play it all day long, but even I know this change was for the bad. DMC wasn't a series that really needed to be rebooted, but rather touched on and be made better with story, character, and gameplay. But because of DMC4 bringing in a new character instead of Dante, fans were mad. Now all would've been forgiven if Nero was actually a good character, but Capcom got complaints of Nero being a whining guy who kept crying and wasn't as cool as Dante. So Capcom decided that it needed a new image; rebooting. So now there's Dante with black hair and middle fingers away.
This was not a good change. It was a reboot, but it was also a big change from the over the top anime feel of DMC3 and DMC4.