cassettes CAN sound better than vinyl.

So nobody here has a DCC? Digital Compact Cassette. Less bits than on a CD but all the mechanical problems that plague analog cassettes gone! Plus there are very good commercial tapes made from digital sources! I have the Sony DCC deck and some tapes for it from Philips classical. Sound quality leaves analog cassettes in the dust!

The problem with cassette tape is that it stretches over time and may not take-up properly on the right reel.  Nakamichi eventually fixed this problem by designing a better tape pad lifter on some of their models.  But if you own many old cassettes and don't have a deck with this design, you could be SOL.

@digitalviper is a troll who lives under a bridge. So yes, could be kenjit.......

I would never say cassette is better than vinyl. However, I was in a studio in Rochester NY in the 80s and they were using NAD monitor series decks to record my friend's band. The resulting demo tape was outstanding. I also got to listen to demos from other bands and they too were amazing. I heard a demo from a local jazz band, Cabo Frio, which blew me away. I went out the next day and bought the NAD. I still have it, no longer use it for much other than old Dead bootlegs and a few other boots I cannot find in digital format. I never heard an MP3 that sounds as good as a tape made from the NAD or a couple NAK Dragons my friends still own. 

I had a Nak head unit in my 87 Mustang GT. The system in that car was better than many had in their homes. The installer told me the Nak would not skip on bumps at high speeds. Trying to prove him wrong I popped in some Little Feat and I took him for a test drive at 100mph over some RR tracks. He wasn't lying. Never skipped a beat. 

There's really no comparison. For example, that's why tape deck manufacturers used -20dB levels when they quoted frequency response for cassette decks. You really don't want to know what it looks like at 0 dB.

Music doesn't have high frequencies at 0dB.  One of the problems was self biasing of the tape by high frequencies in the music.  Higher bias lowers distortions but limits the bandwidth at high frequencies (tradeoff) .  My Aiwa deck had HX-Pro that is basically a servo on the bias (keeps total bias constant).  It greatly extended frequency response of the tapes.  Still, it was not even close to modest TT I had, even with best tapes.  CAN it sound better than vinyl?  Of course.  8-track can sound better than vinyl if you get really cheap crappy TT.