I joined the fandom after playing FE8 on the 3DS through the Ambassador program and I loved it, a year later I bought FE13 and now I'm working through FE6. FE13 is currently my favorite in the series, but I can't wait to try out FE4 because it seems really fun. I remember when I first played FE8 I was like, "Woah, this game's really fun, I have no idea why it's not very hyped." Then, when FE13 comes out, I see all these people who suddenly like the series, I even see people who don't even play Nintendo games say that they're trying out FE13. I think that's great, it means that more people are taking notice of this beautiful franchise.
I'll be honest, if there was a type of fan I disliked, it would be the fans who only play SSB, have NEVER played an FE game, and obsess over Marth and Ike. Sure, it's rude to say they aren't fans, since they still like the series, but I find them bothersome.