In my 2002 Accord EX-L, I have a 6 Disc In-Dash CD Player with Tape, and mine reads CD-R's and CD-RW's just fine. It's a real nice stock head unit. You just feed it 6 discs.
I think the problem with the stock head unit reading CD-R's and CD-RW's were in the 1998-2000 Accords.
If you really want a stock Honda 6 Disc In-Dash, plus Tape head unit that were in the EX's, it's $644.75 at
HondaAutomotiveParts.com