Well then, pull up a chair, and grab the popcorn.
I'm a nostalgic person, so most of my fav animes are a bit old. My all time favorite are always Cowboy Bebop, Blue submarine No. 6 and X/1999. I'm also a big fan of the first two seasons of Digimon and the third was pretty ok too, but the enthusiasm faded with the 4th. And my childhood was full of Dragon Ball series as well, lol. The early seasons of One Piece have a special spot in my heart too.
I've been watching them all in TV, always rushing back home from school, not to miss an episode! And then watched the several reruns of them that followed.
I can safely say that these series influenced my drawing style a lot.
Oh and almost forgot my fav mystery at that time, Detective Conan (which wasn't an influence in my drawing style, but thinking outside the box). So this was my fond childhood.
Then there's series I was catching up to online, while being in university. Trigun is absolutely fantastic, and I always like to put subtle references to it in my comics. Some more obvious than the others haha XD
Durarara and Baccano have brilliant plot twists. I binge watched them with excitement. (I didn't like DRRRx2 though). Other series I enjoyed very much are Ergo Proxy, Oban Star Racers, Samurai Champloo, Ultimate Survivor Kaiji, and the award for the best recent anime that made me fall into the deepest fandom hell is Yowamushi Pedal. There's no salvation for my soul :'D
If I had to mention a fun series that weren't anime (or half anime), then I enjoyed the first few seasons of Spongebob very much. And then Avatar: The last Airbender, The Legend of Korra and Regular Show.
I'm not a fan of live action series, so no titles to remember here.
Look at that long post, oh my gosh