Lady Gaga - The Fame Monster
Madonna - Like A Virgin
Beyoncé - B'Day
Britney - Oops! I Did It Again
Katy Perry - Teenage Dream
Adele - 21
B'day wasn't better than Dangerously In Love in terms of overall era. It was the better album, yes. But there were things she messed up. DIL era was flawless in every existing way.
The thread isn't really clear about the real question...Is it about the better second era or a more successful second era? It's two different questions
Lady Gaga - The Fame Monster Yes
Madonna - Like A Virgin Yes
Beyoncé - B'Day No
Britney - Oops! I Did It Again No
Katy Perry - Teenage Dream Yes
Adele - 21 Yes