I think a good starting point for this is Mozart and the Alberti bass (try k545). The left hand stays stationary for the arpeggios, so you can get used to the hand coordination that way. You could practice your arpeggios as well, starting with a stationary one octave arpeggio in your left hand and with your right hand play the notes of the arpeggio in quarter notes (if you're playing eighths in the left), getting used to the interplay of hands, eventually mixing it up so you play the notes of the arpeggio in different order in the right hand (like C, E, G; C, G, E; E, C, G; E, G, C; G, C, E; G, E, C), first mastering this and then doing simple chord progressions.In a lot of repertoire you're going to play arpeggios over more than one octave. After you've gotten the hang of practicing with a left hand stationary arpeggio pattern, you can try practicing the same way but increasing the left hand's arpeggio to a second octave. Once you can do this with control and ease, you might want to try some of Field's easier nocturnes. They are a step towards the Chopin but aren't as chromatic, and there are less polyrhythms. Last year I learned a couple Field nocturnes and Scriabin's Op. 11 no. 21 (the Scriabin has a very simple right hand which makes it a good piece to learn to play arpeggio accompaniment, but the left hand's arpeggios involve some large stretches that may be uncomfortable if you're not used to left hand arpeggios), and now I can play Chopin's easier arpeggio nocturnes.
I think the pieces you've listed as being troublesome to you would be great to start learning. Debussy's first Arabesque isn't too complicated other than the polyrhythms and a few awkward spots, and the flowing nature of the piece could really help you get more comfortable with arpeggios. After that you could try stepping up to Clair de Lune. Another piece I'd throw in the mix is Liszt's Consolation No. 3 in D-flat Major. It's such a lovely piece and the RH is very easy for most of it. For nocturnes, maybe Op. 72 No. 1 in E minor would be a good choice? It's on the easier side, as opposed to Op. 27 No. 2 in D flat which is one of the harder ones (but is a great challenge for managing LH arpeggios while the RH carries the melody!)
What aspects of playing arpeggios do you have trouble with? If it were an arpeggio going up and down in the "same spot" where you don't have to move your hand to a new position - (going up) G B D F (and then going down again) D B G for example - would that be difficult for you? Or is it when you have to pass over the thumb to a new position that you get problems? What exactly are the problems you experience?