Piano book recommendations, oooo so many.
Start with these. They're series so you can pick the level you want, from easy to late intermediate eg Encore book 3 is grade 5-6, which it sounds like is about right for you, easier books might be good consolidation and even easier, like g2, would be good sightreading practice. So:
Encore (as I said comes in g1/2, 3/4, 5/6) and Best of Grade ( one for each grade, only up to 5 though) by ABRSM, lots of more fun, modern/ jazzy pieces but some classics too
Spectrum (modern)
Classics to Moderns - I have many of these, lovely, everything from Bach to Satie to Einaudi
For more baroque/ classical/ romantic stuff
Real Repertoire
Masterwork Classics
Hours with the Masters
Essential Piano Repertoire
A Keyboard Anthology
Classic Piano Repertoire - John Thompson and William Gillock
Graded Pianoforte Studies (old and a bit dry but great for technique)
Tuneful Graded Studies
Also maybe Hello Mr Gillock, Hello Carl Czerny although maybe a bit easy - going from that, Gillock and Czerny studies books, especially Czerny as they sound like proper pieces, I'm working on study in A flat which is gorgeous.
Burgmuller. So many collections of equally lovely studies. Op 100 goes from about g2/3 to 5, op 109 is more like 4-7 and 105 is advanced.
Clementi sonatinas op 36, progress from about g 2/3 to 6.
Mozart Sonata in C k545 (g6 ish)
Phew that was an essay
wish I had time to learn half of that. Enjoy 