I originally posted this here in 2016, but as it seems to be relevant again, here you go!
I own the vinyl edition of Best 1, for no other reason than it's cool as fuck. I grew up collecting records, and had well over 1,500 when we decided to leave Michigan for California. I only kept about a dozen, and Best 1 was one of them.
There is a difference in sound between digital recordings and old analog recordings. I can speak to this with some level of authority, having recorded bands in both completely analog and completely digital realms. There is a discernible "warmth" to analog due to the difference in the way the audio signal distorts when driven hard between the two processes. In the digital realm, over-drive distortion is harsh and very unpleasant, whereas -- assuming you do the correct things to control it -- analog overdrive is rich and pleasing to the ears. This isn't just a matter of taste, overloading your signal is pretty much the worst thing you can do in a digital recording, and while it's not necessarily a good thing in analog, it might be, and most rock, soul and disco recordings of the 60s, 70s, and 80s used some form of controlled over-drive to take advantage of the effect.
OTOH, there is far greater "headroom" in digital. That is to say, since you can see the audio signal in digital, you can use compression and EQ to squeeze the greatest amount of "loudness" out of a recording by causing the signal to peak more often. and this is another reason digital sounds different from analog. To many ears, this is not always a good thing, as abusing this process decreases the overall dynamic range. It's mostly older ears that dislike this, as they grew up listening to music with grerater dynamic range and less in-your-face mastering. I count myself among that group.
Digital technology has advanced to the point where audio engineers can now sort of mimic the analog over-drive effect with plugins, and while it's not bad, it's also not quite the same. It is interesting that even in 2016, many music producers are trying to make their recordings sound like they were recorded on 2-inch tape, processed through a Fairchild compressor, and mastered to 1/2 tape. If they thought that digital was so much better than analog, it wouldn't be so common to try to copy the analog sound.
Regarding the experience of listening to vinyl, if you didn't grow up listening to the sound of the needle gliding across the vinyl -- with all of the attendant pops and hisses -- well, it's not something that can ever be fully explained to you. It has to have been experienced contemporaneously with vinyl being the state of the art. If you grew up with CDs and mp3s, the desire to own vinyl will forever be a mystery to you, and that's cool.