You'll want to check these streaming sites frequently

Free on Funi:

• Barakamon
• Black Cat
• Dub of Case Closed
• Free Eternal Summer
• In Search of the Lost Future
• Kanon
• Last Exile
• Le Chevalier D'Eon
• Lucky Star
• Minami-ke
• Noir
• Peach Girl
• Rainbow Days
• Rainy Cocoa
• Time Travel Girl
• xxxHolic

Exclusive on Funi:

• A Certain Scientific Railgun
• A Certain Magical Index
• Attack on Titan
• Cardcaptor Sakura: Clear Card
• Chobits
• D. Grayman
• Eden of the East
• Fairy Tale
• Maria the Virgin Witch
• Orange
• Princess Jellyfish
• Snow White with the Red Hair
• Steins;Gate
• Three Leaves, Three Colors

Crunchyroll:

• Free! Iwatobi Swim Club
• Fushigi Yugi
• GTO
• Mekakucity Actors
• Princess Nine
• Shingu
• Slam
• Supergals
• Valerian and Laureline

Hidive:

• AKB0048
• Another
• The Big O
• CLAMP School Detectives
• Clannad
• Dusk Maiden of Amnesia
• Elfen Lied
• Familiar of Zero
• Food Wars
• Haikyu
• Hamatora
• Heaven's Memo Pad
• Inu x Boku
• Kids on the Slope
• Kino's Journey
• Kokoro Connect
• K-On
• Log Horizon
• Love, Chuunibyo, and Other Delusions
• Monthly Girls Nozaki-kun
• My Love Story
• Mysterious Girlfriend X
• Nadia: The Secret of Blue Water
• Night Raid 1931
• No Game No Life
• No 6
• Parasyte
• Problem Children are Coming From Another World, Aren't They?
• Shining Hearts
• Someday's Dreamers
• Special A
• Tears to Tiara
• Trinity Seven
• Un-go
• When They Cry (visual novel first!)
• You're Under Arrest

Viz:

• Sailor Moon
• Coppelion
• Prince of Tennis
• Shadow House

GAMES to consider (esp. visual novels):

• 11eyes