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 series
Date A Live
Hyouka
Amagi Brilliant Park
Lucky Star
High School DxD series
Neptunia series
Monogatari series
Fate series
Senran Kagura series
Toradora
Shakugan no Shana
Familiar of Zero
Hayate the Combat Butler series
Aria the Scarlet Ammo
Seraph of the End
Sword Art Online series
Trinity Seven
RWBY (animesque)
Vocaloid (animesque)
Miss Kobayashi's Dragon Maid
Is the Order a Rabbit
Kiniro Mosaic series
Non Non Biyori
Gabriel Dropout
Myriad Colors Phantom World
Macross series
The Melancholy of Haruhi Suzumiya series
Nichijou
K-On
Love Live series
New Game
No Game No Life
Pokemon
Digimon
Yu-gi-oh
Konosuba
Strike Witches
Girls und Panzer
Food Wars
My Teen Romantic Comedy Snafu
Naruto series
One Piece
Idolmaster series
Saki series
Squid Girl
Sound Euphonium
Blend S
Overwatch
Animal Crossing
Final Fantasy
Xenoblade
Harvest Moon
Sailor Moon
Touhou
Akame Ga Kill
Chivalry of a Failed Knight
Fuuka
Accel World
Neon Genesis Evangelion
Is It Wrong to Try to Pick Up Girls in a Dungeon?
Gundam series
Revolutionary Girl Utena
Dagashi Kashi
Code Geass
Is this a Zombie?
Heaven's Lost Property
Angel Beats
Charlotte
Assassination Classroom
Attack on Titan
Deadman Wonderland
Cowboy Bebop
Inuyasha
Ranma series
Black Lagoon
Future Diary
Highschool of the Dead
Kill la Kill
Gurren Lagann series
Re:Zero
Tokyo Mew Mew
Precure series
Wedding Peach
Tales of series
Persona series
Tomb Raider
Tekken
Yumekui Merry
Monthly Girls Nozaki-kun
The Devil is a Part-timer
D-Frag
Haganai
Baka and Test
Cross Ange
Plastic Memories
Black Cat
School Rumble
Love Lab
ReLIFE
Ro-Kyu-Bu!
To Love-Ru
Full Metal Panic series
Kimi no Todoke
Pani Poni Dash
Minami-ke
Flip Flappers
Mayoi Neko Overrun
Bamboo Blade
Girls Bravo
Lagrange The Flower of Rin-ne
Sonic series
Street Fighter series
Medaka Box
Black Bullet
Kantai Collection
Nisekoi
Rosario + Vampire
Yuki Yuna is a Hero
The Irregular at Magic High School
Nanana's Buried Treasure
Your Lie in April
Strike the Blood
Golden Time
The Pet Girl of Sakurasou
Infinite Stratos
Tokyo Ghoul
Nagi No Asakura
Ben-To
Yamada-kun and the Seven Witches
Chaos Head
Gotta Be the Twin-Tail
Beyond the Boundary
Inu x Boku
Gargantia on the Verduous Planet
A Channel
Mayo Chiki
Vampire Knight
Castle Town Dandelion
Kampfer
School Live!
Hanasaku Iroha
Kotoura-san
Working series
Hanayamata
The World God Only Knows
Denpa Onna to Seishun Otoko
AIR
Kanon
MM!
Himouto Umaru-chan
GJ-bu
Humanity is in Decline
Jinsei
Tamako Market
Asterisk War series
Tari Tari
Shuffle
Noucome
Saekano
Natsuiro Kiseki
Seitokai no Ichizon
Seitokai Yakindomo
Chobits
Eureka Seven
Excel Saga
D.N. Angel
Tomorrow's Nadja
Rozen Maiden series
Higurashi series
Coffin Princess Chaika
Absolute Duo
Blood Lad
Unbreakable Machine Doll
Yuyushiki
Aiura
Aquarion series
Dangonronpa series
Kannagi Crazy Shrine Maidens
My Little Sister Can't be this Cute series
Steins;Gate
Dog Days
High School Fleet
Masou Gakuen HxH
Kingdom Hearts series
Magi Labyrinth of Magic
Please Teacher series
Watamote
Seiren
Aikatsu
Show by Rock
Amagami series
Anne Happy
Chaos;Child
Elsword series
Fire Emblem series
Guilty Crown
Girlfriend Beta
Granblue Fantasy
Flower Knight Girl
Grisaia
Perowan
Kiwaguro no Brynhildr
God Eater series
Haiyore Nyaruko-san
Kemono Friends
Koihime Musou
Muramasa-sushi
And You Thought There Is Never A Girl Online?
Arpeggio of Blue Steel
Nekopara series
Sakura Trick
Rewrite
Super Sonico series
To Heart series
Valvrave the Liberator
Valkyrie Drive
Zhan Jian Shao Nyu