This is a list of some of the anime I know:
Bleach
Soul Eater
Madoka Magica
Lyrical Nanoha series
Symphogear series
Fairy Tail
Index/Railgun series
Card Captor Sakura
Clannad
Chunibyo
Date A Live
Hyouka
Amagi Brilliant Park
Lucky Star
High School DxD
Neptunia
Monogatari series
Fate series
Senran Kagura
Toradora
Shakugan no Shana
Familiar of Zero
Hayate the Combat Butler
Aria the Scarlet Ammo
Seraph of the End
Sword Art Online
Trinity Seven
RWBY (animesque)
Vocaloid (animesque)
Miss Kobayashi's Dragon Maid
Is the Order a Rabbit
Kiniro Mosaic
Non Non Biyori
Gabriel Dropout
Myriad Colors Phantom World
Macross Frontier
The Melancholy of Haruhi Suzumiya
Nichijou
Aquarion
K-On
Love Live
New Game
No Game No Life
Pokemon
Konosuba
Strike Witches
Girls und Panzer
Food Wars
My Teen Romantic Comedy Snafu
Saekano: How to Raise a Boring Girlfriend
Naruto
One Piece
Idolmaster
Saki series
Squid Girl
Sound Euphonium
Blend S
Overwatch
Animal Crossing
Final Fantasy