I have to laugh at myself about this I hope you do too, but I had to google Inheritance Cycle only to realise what it was; I admit I only read the Eragon and Eldest.
Looking at the question you asked I would say these but in no order really, the following for Fantasy:
The Dark Magician Trilogy by Trudi Canavan
Kingmaker Kingbreaker by Karen Miller
The Magican's Apprentice by Trudi Canavan
The Traitor Spy trilogy by Trudi Canavan
If you havent guess I really like Trudi Canavan something about her writing just draws me in.
Harry Potter by J.K.Rowling (Yeah I know but it def one series I've read more than any other ever)
Percy Jackson series by Rick Riordan
Heros of Olympus by Rick Riordan
His Dark Materials by Philp Pullman
Artemis Fowl by Eoin Colfer (Not its biggest fan, but the guy who wrote it lives about half an hour from me, and his uncle used to be teach in my old seconardy(High) school)
The Hunger Games by Suzanne Collins
Divergent Series by Veronica Roth
They just my top few, but its hard to think up other these are the ones that are looking right at me from my bookshelf and now I'm searching for ebooks in the same genre.
Also yeah I do like my teen/ young adult books more than the Adults, more so cause I find them more interesting and easier to read, although I am now think of reading Game of Thrones.