What makes tape sound better than vinyl ?

BIG SHAME !!!
But it's not in museum, there is a number of people very serious about R2R recording and playback.
Vinyl is great for archive, though, and back-up.

stringreen
Its impossible to get audiophile sound from a car system.

>>>Let’s get real. It’s impossible to get audiophile sound from many HOME SYSTEMS. More to the point, it’s possible to get very good sound from car systems. WITHOUT much effort. Let’s see, you got battery power, no house AC issues, the car is metal so act as as RFI/EMI shield. Obviously you'd want to replace the fuse with an aftermarket fuse and the acoustic space in a car is small, a lot like near field listening, no worries about having to use a lot of acoustic treatment. Maybe a little wouldn’t hurt. One assumes the CD player buffers the data so you don’t have to worry about vibration, anyway the shock absorbers act as a seismic vibration system for very low frequencies. Finally use audio cassettes anyway. They sound better. Problem solved!

This is an interesting conversation. The best playback in magnetic tape would be a half track machine running at 15ips and recorded directly from the studio master which most likely would have been 2".
Tape (of any sort) also has potential problems such as drop outs (metal particles actually falling off the tape) and having levels set too high during the recording process leading to "print through". I would love to be able to hear music played back from a first generation half track format. Unfortunately, tape degrades over time and is not a stable source. That's why we have digital now.

I have couple of Vertex cassettes that I played more than 500 times. I almost never rewind or fastforward. They still play just as good as when they were new. And this particular tape is Maxell back coated tape that they used it their reels. They might be good for 500 more plays, I'll see. 
You can also modify decks, add outboard tube playback head amp, have custom headblocks for two track and four track recordings and playback and do other things. Great open reel deck is a true audiophile machine. You can even use it as an active preamp, as I sometimes do.

It might be one of the big ironies of audio that tapes degrade, even though I suspect when properly cared for it’s probably not a huge problem, and that’s why digital came along. Another big irony is that solid state replaced tube electronics due to "reliability issues." Cassettes when cared for just a little do not degrade. First, tape has been the first step in most recordings ever since digital first reared its ugly head. Second because digital has been playing second fiddle to vinyl and even cassettes like forever in some VERY important respects such as emotional involvement and musicality. Yes, I know what you’re thinking, "But digital is getting better!" Perfect Sound Forever! Horray! 😛