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I tried once reading the Lord of the Rings but it never grabbed me like GoT or Harry Potter.

It took me until the third book until I really got into the Harry Potter books but it's one of my favorite series now. I was hooked on The Lord of the Rings when I first read it in Middle School. The Narnia books were another series I really loved when I was younger but I don't find them as good to re-read now. You should give LOTR again sometime if you run out of things to read. Start with The Hobbit though...