I Got A Boy is an album that is riddled with good songs and fillers. It's a step up and I see them trying to improve their Korean material but it was not that good.
Trinities? I haven't listened to a lot, but for girls I'd say it's SNSD, f(x) and RaNia (even though I only know a small bit of their discography) and for boys it's SHINee, EXO and VIXX.