What pieces should I play on piano?

I have been playing piano for at least 2 years now. I had almost 1
year formal lessons but I had to stop because we moved to a different
place. Now I told myself I should just teach myself but I have no idea
where to start. The last level I was on was Level 2 and the book given
to me by my teacher focused on Disney music.

Now, what pieces should I practice or learn to get my piano life
moving? I learned about 3 new songs unrelated to Disney last year...
and unfortunately, I could only play half of each song. The songs were
Ballade pour Adeline, From Beginning Until now (Winter Sonata OST),
and Chrono Trigger 600 AD
I'm interested in game music, classical, jrock/krock, and anything
related to that. Also, if you know a good site or a good e-book/book
for piano techniques, please tell me.

That being said, I hope you can give me some advice on what I should
do next. I thank you in advance :)
and I forgot to say that easy to medium levels should do. So if you
know an easy/moderate song to play, link and/or include them in your
answer. Thanks so much once again. :)