Hm. Some fantasy stories / books I really enjoyed and recommend are:
Eragon by Christopher Paolini. Just awesome. The pacing is gentle but a lot higher compared to The Hobbit or The Lord Of The Rings. One of the best fantasy stories I know, I read all the books multiple times. Warning: Don’t watch the movie. Just don’t.
The Idhún’s Memories by Laura Gallego. I’ve read them a long time ago, so I don’t know if I’d still enjoy them that much, but I’ve great memories.
I didn’t read The Name Of The Wind yet, but it was recommended to me multiple times as THE best book.
If you don’t mind science-fiction, I also would recommend Children Of Time by Adrian Tchaikovski.
Side note: Fantasy is quite a heavy genre if you’re not really into reading yet. Often the good books are large, which makes it harder to finish in a reasonable time. General tipp: try to read one hour a day. This creates a habit and you will soon read a lot faster, which makes it a lot easier to just grind through a book as if it was nothing. Also try different genres, maybe one doesn’t sound appealing, but you would enjoy it anyway.