For keeping track, I use MyAnimeList. They have EVERYTHING and allow you to have multiple lists of Watched, On Hold, Watching, Completed, Etc...
I've been binge watching Fairy Tail for the past week. It's got plenty of adult comedy, action, fantasy, but it's more along the lines of PG-13.
http://myanimelist.net/anime/6702/Fairy_Tail
Check out Attack on Titan if you haven't.
http://myanimelist.net/anime/16498/Shingeki_no_Kyojin
Evangaleon is an amazing older anime. They've also remade it.
http://myanimelist.net/anime/30/Neon_Genesis_Evangelion
Berserk, the old episodes, then watch the new films.
http://myanimelist.net/anime/33/Berserk
One of my absolute favorites is definitely NOT for kids, it's sci-fi/horror, Elfen Lied:
http://myanimelist.net/anime/226/Elfen_Lied
Future Diary, Mirai Nikki, another that is definitely NOT for kids, very horror/sci-fi oriented, and more of a thriller.
http://myanimelist.net/anime/10620/Mirai_Nikki_(TV)
Death Note is very good:
http://myanimelist.net/anime/1535/Death_Note
Cowboy Bebop will always be a classic:
http://myanimelist.net/anime/1/Cowboy_Bebop
And if you haven't seen Vampire Hunter D, Akira, Trigun, you should, classics:
http://myanimelist.net/anime/732/Vampire_Hunter_D
http://myanimelist.net/anime/47/Akira
http://myanimelist.net/anime/6/Trigun
Princess Mononoke had a very light-hearted story, but very deep. Most of his anime are. The script was written by Neil Gaiman:
http://myanimelist.net/anime/164/Mononoke_Hime
I could seriously do this all day lol. What are some that you have enjoyed?