This is a (nonexhaustive) list of write-twice registers:

Addr name
2104h OAMDATA
210Dh BG1HOFS
210Eh BG1VOFS
210Fh BG2HOFS
2110h BG2VOFS
2111h BG3HOFS
2112h BG4HOFS
2113h BG4HOFS
2114h BG4VOFS
211Bh M7A
211Ch M7B
211Dh M7C
211Eh M7D
211Fh M7X
2120h M7Y
2122h CGDATA

This is a (nonexhaustive) list of read-twice registers:

Addr name
2138h RDOAM
213Bh RDCGRAM
213Ch OPHCT
213Dh OPVCT

Source: http://problemkaputt.de/fullsnes.htm