I know Arizona’s theme uses organ (sounds like a 4 bar to me, but it’s probably electric), heavy electric guitar, and harmonica. I think there’s some regular acoustic guitar too, and some woodblock and cowbell in the rythmn section for good measure. Most of these instruments are used in christian rock, but the harmonica is heavily used in western movie soundtracks.
Oleander’s theme uses harpsichord, bells, electric guitar, and violins. Classy stuff.
Velvet’s uses sleighbells and a really cute slide-y electronic synth. There’s a flute, an electric guitar, a bass synth, and a piano in there too, I think.
Pom uses acoustic guitar, bells, electric guitar and some sort of wind section. (Maybe also pizzicato strings?)
I dunno for Tina. I don’t know much about Asian instruments. I dig that electric guitar part though.
I haven’t listened to paprika’s on its own much, but it has kind of a chip tune sound to it. I remember maybe a violin too? It’s got kind of a polka sound in parts so an accordion wouldn’t surprise me either.
Anyway that’s my two cents. Hope it helped!