Hey, I'm also practicing reading right now. I recommend reading one of the harry potter books, if you're just getting started on kanji and stuff. They all are books designed for elementary school kids to read, so they got a lot of furigana in them! Other books with furigana are mangas, but that gets expensive after some time when you get faster at reading. I also tried it once with children's stories but let's be honest, it's just not interesting to read. Novels are really hard to read, but if you're already good at kanji, I love to read manga novels(I don't know what to call them, it's just manga written as novels)! It's easier often because if you know the manga you already know the plot for most (my favorite manga novels are the ones of Gintama). Hope I could help you!

I'm a bit late to the party but I want to add that on Memrise there's a　Japanese course/vocab list of words from the first Harry Potter novel, so it might be worth checking that out too.

Thanks everyone for you suggestions. I just bought the first book for the Japanese edition of Harry Potter! I'm really excited to get it!

You could read children's stories online or the kodomo times news or something. I think novels are really hard.

面白い本はたくさんありますし、好みも分かれると思いますので、おすすめする本はありません。

しかし、村上春樹さんなど、英語に訳されている本なら読みやすいのではないでしょうか？