I've always found time to watch around 20 anime per season (20 minutes each per week) regardless of full time study & work, if you plan yourself well it is very doable.
As for your MAL I more or less expected as much, as you watch more you kind of realise the repeating theme in shonen anime and the need for seiyuu that are done so well in Japan.
Bare necessities are:
Bakemonogatari (the whole series)
Cowboy Bebop
Fate/Zero
Gintama (comedy)
Zetsuen no Tempest
Major (baseball)
Clannad (feels)
Serial Experiments Lain
Ergo Proxy
Gosick (mystery)
Kekkai Sensen
...
I could go on
If you ever feel like marathoning something though you should watch Detective Conan which has one of the best overarching plots in any media I've ever seen.