The radio will not play tapes or except a cd adaptor. it keeps saying clean. it will not let us clean the heads. it keeps ejecting the tapes.

The eject button is stuck (probably got some stuff splashed on it). Take the face plate off and clean/check area around this button for goo, dirt, or damage.

Does it make noise or move when you hit the eject button? If so, slide a butter knife under the exposed edge of the tape drive adaptor about an 1/8" and hit the eject button. Just a little upward pressure should help it release. It the eject button has no effect, you may need to pull the radio out, open the cover and manually turn the eject drive assembly.

Try disconnecting the battery negative and positive cables. The radio has a constant hot wire which keeps the memory alive on the radio. This constant wire always has power to the radio so you have to disconnect the (+) for at least 2 minutes, which should clear out the memory on the radio and hopefully it'll stop saying clean player. If it comes back on when you hook the battery back up then look up the radio brand and model number on line and do a search for a way to clear it from the radio.

You can get a cleaning kit from any store like Walmart to clean the laser reader lens. Very cheap and easy to use.

Cassette decks have sensors on the reels which tells the deck when the tape is at the end. When the reel stops the deck switches the direction of the tape and sometimes the position of the head(depending on the deck design). Most common problem is the tape is hard to turn, or the deck won't turn it ( deck thinks it's at the end, click, still won't turn, click, won't turn, click) you should fast forward and/or rewind your tapes from start to finish once in a while to keep them lined up(narrow spool/less friction), you shouldn't have to but it works. BUT,...your problem sounds like a slipping or broken belt/or dirt causing the problem. Take the deck out to have a look and clean the capstans(rubber rollers)belts,heads with alcohol and a Q-tip while your at it. Dirt's usually the main culprit and if you do have some other problem, cleaning it is always a win/win (It will also sound better clean)

You might try flipping the adapter over the other way. If that doesn't work, you might want to try putting a cleaning tape in and clean the cassette heads. The tape player will sometimes eject a tape if it cannot read it very well. It assumes that the tape is damaged. Dirt on your heads can cause it to eject your adapter because it is having trouble reading the signal from the adapter.

I think you need to remove the unit and have it repaired, it is faulty.

Instead use a radio adaptor where you would set you radio to a particular channel. The adaptor emits a signal correspondent to that radio signal and allows you to listen to your iPod.

I just got a tape unstuck myself. Everytime I would hit eject it would make a clicking noise.

Here is what I did:
First I watched these videos to remove the radio.
http://www.youtube.com/watch?v=29MTa4FLjtk&feature=channel

http://www.youtube.com/watch?v=fqvk_PNo9Kg&feature=channel

Then I unscrewed the bottom panel of the radio.
Unscrew the brass screws holding in the cassette player portion of the radio.
Now flip the cassette player over to see your tape, etc.
When I pressed the eject button, I noticed a little motor with a worm gear would move a a gear which moved several other gears until it eventually moved a black gear which has a little post that moves the metal arm which moves back when pushing in a tape and moves forward when ejecting a tape. But I would get a clicking sound which seemed to be due to one gear trying to move a stuck gear.
I forgot the exact details of how I managed to get the tape out, but when I did get it out I noticed when I turned on the radio, it would act like it was trying to play a tape. But when it found out it couldn't, it would try to eject but would fail once again with the gear clicking sound.
I think I tried moving the black post on the black gear that moves the arm that pushes the tape out. Eventually I got to the point where the arm was pushed forward like it should be when a tape is ejected. At that point I was able to insert and eject a tape without any problems.

the rubber drive belt is loose or broken that moves the tape over the head, any authorized GM radio repair shop shoukld be able to fix it.