Ok, so I am playing through Albert Odyssey and I left the game running to help my 2-year-old only to come back and find that my 5-year-old played through the boss battle I was on and the console was back on the intro screen. I do not know if she lost and the game was over and reset or if she did something to reset it (the buttons on the console itself). Anyway, when I went to play it again the console restarted and then didn't recognize the disk. I powered it off and tried again, no luck. I tried another copy of the game - no luck. I tried my original, but scratched, copy of the game and it didn't work either. I finally got it to boot again and it restarted about 5 minutes in and would not recognize the disc.
My Saturn is a modded Model 1 from 1996. It has the chip I bought here at racketboy and I tried two burned copies along with my original copy of Albert Odyssey. I did boot up Magic Knight Rayearth (burnt) and it started but I did not play through it to see if it would restart. So maybe it is a game issue... but really I don't think that is it.
I looked around the internet and see that this could be either a laser or PSU issue. I cleaned the laser and did a couple of things I found on the internet and will try again this afternoon to see if the PSU was overheating. I also opened up the console and checked there were no broken or leaking caps on the PSU. I did find a replacement PSU on eBay for $12 that looks different but is the same version "C". Before I buy that I was wondering if anyone here has had a rebooting problem to compare issues and see what else I should try.