My system does not power on
The console is switched on, but is unresponsive.
Open power cord
If the power indicator does not turn on and the GD-ROM drive does not show any response, it is most likely that the power cord is bad. Verify that this may be the problem. Unplug the cord and test the continuity of the power cord using a digital multimeter or continuity tester. If the power cord fails electrically, you must replace the power cord. If you do not know how to verify for continuity, check out this guide here.
Bent or Dirty Power Prongs
If the console does not turn on, or shuts off randomly during game play then the internal power prong connection may be faulty. To correct this, you made need to clean off the power prongs, or reshape them to working condition so that they can in provide adequate power transfer from the power block to the logic board. Refer here for instructions on fixing the power prongs.
Bad power board
If the power cord is working electrically, then you may have a bad power board. More than likely, you will need to have this part replaced. Make sure to verify your model number before requesting a new power board.
My controller is not working
The system powers up, but the controllers are unresponsive.
Dead controller
You may want to verify to see that the controller plug is free of anything that may prevent the pins from making an adequate electrical contact. If this fails, verify to see if the controller is working with another Dreamcast console. If this does not work, you may want to consider getting a new controller.
Bad controller board
If the controller works with another Dreamcast, but not yours then your controller board may be faulty. It is possible that the fuse (labeled F1) on the controller board has blown. You can easily fix this by following our F1 Fuse Repair Guide. If that does not work, you can replace the entire controller board.
The audio/video skips
The video or audio does not provide continuous playback or freezes.
Scratched or dirty game disc
If the audio or video skips, you may want to test the game disc with another console. Try to clean the disc with a soft cloth if it appears dirty. Do not rub in circular motions, but instead starting from inside edge to outside edge. If problems persist, then most likely the game disc will have to be replaced.
The Audio or Video is not present
No Video is visible or Audio audible.
Verify your cables
If neither video or audio is outputting to the screen, verify to see if the AV cables are properly plugged into the Dreamcast and the television or output device.
Logic Board Blown
If the system is unresponsive, and you have verified for all other problems, then it is safe to assume that your Logic Board (the brain of the Sega) is dead. This piece must be replaced for the console to work again. Verify the serial number on your Dreamcast before ordering a new part.
My GD-ROM drive is not working
The game disc drive does not spin.
Bad GD-ROM drive
Insert a game disc and power up the system. If the drive does not appear to be spinning, then it is likely that the needs to be replaced.
Dirty GD-ROM lens
Open the GD-ROM lid, and remove any disc in the drive. If the GD-ROM lens appears dirty then clean it with a small Q-tip dipped in rubbing alcohol (90% or higher).
My system is overheating
After prolonged use, the console shuts itself off.
Insufficient clearance
It is possible that the system is overheating because it does not have enough room to vent. Try leaving at least a six inch clearance between the console’s fan vent and the potential obstruction when the console is in use.
Bad fan
If the vent fan does not appear to spin when the system is in use, you may have a power supply issue or will need to have the fan replaced.
Power Prong Problems
If the power prongs are dirty, then the system will overheat after continual use. If the 5v fan power prong is not connected to the power board or is dirty, that fan will not spin. Refer here for fixing the power prongs.
Source: Ifixit