How Do You Remove CD Booklet/Artwork?

Just be careful. What I do is gently pry it out with my fingernail without putting pressure on it to move while doing it. Once freed, a gentle kind of shake after doing that works for me. You want it to move back a bit  away from the ridge after getting a hold of it and then it slides out real easy.

All the best,
Nonoise

This is very terrible buy LPs instead there easy to open and sound better.

I replaced the hard plastic boxes for soft plastic envelopes. Takes up about 80% less space in a dedicated 'drawer' filing system (I have an excessive amount of CD's).  The envelope has has pockets on each of it two sides,one for the disc the other for the CD Booklet. It also hgas a space on the top edge of the disc Id taken from the side of the CD Case insert. I file them just as you would find them in an old record store and its fun to look thru them and see all of the covers, not just hard to read side labels. 

Small pocket knife, or a butter knife, insert at center of booklet, slightly lift center of booklet, this will allow for safe removal of book, without the usual pushing and causing tab dents.

I usually take a sledge to it, and if that doesn't work, a flamethrower.