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Although it's unlikely to happen with most discs in most drives, there was the occasional report of a disc exploding inside CD/DVD drives. In a majority of those cases, the disc was already damaged and spinning up was all it needed to shatter.
When tested by the TV show Mythbusters back in 2003, it took upwards of 23,000 rotations per minute to make a conventional CD explode. That kind of speed is technically achievable with 48x and 52x drives (the kind of speed metrics we used to crave for in those PC building days circa 2004), though the Mythbusters couldn't make a CD explode in a standard unaltered drive and resorted to other means.
There are many videos of CDs exploding when being pushed to the limit, including footage of the disc coming apart at 170,000FPS courtesy of The Slow Mo Guys, watch below.