And there's exactly the problem. You're using subjective words like "better". When you're looking for "better" sound, you're looking for the specific quirks and distortions that you prefer. None of that belongs in a recording medium. A recording medium should be measured on how accurate it is...
"Better" is something subjective. It really comes to what you prefer. As for "accuracy", there is so much that affects audio reproduction that the simple notion of "accuracy" is almost nonsense.
I find so many audiophiles who worry about the smallest details of reproduction, spending enormous sums on a variety of audio tweaks, completely ignoring how the recording was originally engineered and produced. There is enormous difference in the signal produced by different microphones. Miking technique makes a tremendous difference in a recordings timbre and imaging. When you put separate mikes on each player in isolation, the resulting recording never sounds like the band was actually sitting in front of you. It's a totally different experience.
There are a variety of recording techniques that are used for a reason. Many find that the 3 channel recordings the Mercury label did back in the 1950s to be some of the best sound ever done. Are you familiar with the differences between M-S, Blumlein and ORTF recording techniques? Do you know which microphones are best with each and why?
And then there's how you use the playback equipment you have. What is the shape of your listening room? What effect do you believe it is that your room has on the result? Did you ever consider that your room might be affecting your sound? Have you ever experimented with speaker placement?
The whole notion of "accuracy" is almost irrelevant in the face of so many other variables.
I love digital because bits is bits and get copied with perfect accuracy, but we don't listen to digital. We listen to analog and every file of digital information has to be translated to an analog wave form, and that translation has a great deal of variation in it. That's why there are so many different DAC (Digital to Analog Converter) devices sold. And you don't have to spend megabucks to hear this. Take a Behringer USB audio interface and compare it to any of the $400 to $600 DAC devices on the market. You'll hear a very real difference, and one that I submit would be surprising. Compare the Behringer to the output of a typical pro-grade Tascam CD player (you do this by feeding the Behringer a digital signal direct from the CD player) and you'll find that they're indistinguishable. So your typical CD player is actually inferior to most of the $500 range DAC devices you'll find.
We listen to analog and there is a great deal of analog happening long after you leave the digital domain. Anyone who says that digital is perfection clearly hasn't seriously examined the world of analog reproduction, which is so much more than vinyl vs. CD.