Some of my favorites:

Hunter x Hunter: Story about a boy who wants to become a "hunter" like his father. The story explodes into something amazing after the hunter exam arc. All the characters are amazing. This anime makes it to my top 3 easily.

One-punch man: I heard about the manga way before the anime, but the premise didn't seem interesting to me. After people so heavily praised it, I decided to read more than the first manga chapter. Well, I ended up not sleeping that night. I read all of it in one go. The anime is a good adaptation. Lots of flashy fights and funny moments. 10/10

Fullmetal Alchemist: Brotherhood There was FMA anime before this, but you don't need to watch that. Jump into this one. The story is concise and amazing. There's a lot of mystery, cool characters, tragedy and some great fights.

That's my top 3, but there are a million other shows I love. I'll mention a few more. They are in a descending order of awesomeness:

Tengen Toppa Gurren Lagann, Space Dandy, My Hero Academia, Bleach, Naruto, Attack on Titan, Cowboy Bebop, Steins;Gate, Death Note, JoJo's Bizarre Adventures, Food Wars!: Shokugeki no Soma, ERASED (Boku dake ga Inai Machi)

Gurren Lagann and Space Dandy in particular have affected my dreams a lot, and what I wish to dream about.