Can Ты recommend me to some good Аниме from the fantasy,tragic romance,or action genres,please?

I was just about to say FMA until I read the question. XD I'd go with Trigun или Kuroshitsuji.

Tengen Toppa Gurren Lagann

Cardfight!! Vanguard link

high school of the dead

mirai nikki and hidan no aria

Two animes that fit all those standards are Pandora Hearts and Blue Exorcist! (short summary below)

Pandora Hearts- Oz Vessalius is thrown into the abyss on his coming of age ceremony. The abyss is a fairy tale prison where crimals who have sinned go. As Oz began to be pulled further and further into the abyss the final words he heard where...
"Your sin...is your very existence!"

Blue Exorcist- Rin Okumura was a troublesome teen who couldn't even mantain a job and always got into fights. While his twin brother Yukio was about to attend a prestigious high school. But who could have ever guessed that Rin would be the son of Satan?

(trailer of pandora hearts and link to blue exorcist. Well I hoped this helped ^^)
link

I will recommend 'The Melancholy Of Haruhi Suzumiya'. It includes God, Aliens, Espers, Time travelers and also Humans :) Best Аниме plot I have ever seen! Must watch!

hmm...Sola, Kuroshitsuji, The Melancholy of Haruhi Suzumiya, Энджел Beats