Ok, I was hoping you wouldn't get any error messages,
but not to worry, we can fix this.
Have you just got the one CD-ROM drive, not two?
First thing to try is to switch the interface from ASPI to Win32
Winamp -> Prefs -> Input -> CD Reader -> config
Hi-lite the LiteOn Drive, click "configure"
Change the "Interface" from ASPI to Win32
Read Errors -> Checkmark "ignore"
Ok everything, close & reopen Winamp
Can you play CD's now, without any error messages?
If you've still got problems, then you'll need to:
Go to this site
and download the wnaspi32.dll file and save it to your System32 folder
Reconfigure CD Reader to use ASPI Interface
Make sure the correct "ASPI Device" is displayed for your CD-ROM Drive.
Likewise for "Speed", which you should set to 32 or maximum
("Command" should default to SCSI-3, "Buffer Size" to 24, "Read Retries" to 5)
Okay everything again, close & reopen Winamp
Now try playing a CD again.
Good luck and let us know how you get on