After I took point-set topology I read Steen and Seebach's Counter Examples in Topology and really appreciated learning about the creative topological spaces that people have thought up.
I wish there was a similiar book for sheaves. I understand that Sheaf Cohomology is a big thing these days, and that they appear a lot in algebraic geometry, but as of right now I want to learn more about the sheaves themselves and wish I had a gallery of interesting sheaves that people have thought up in the past. Sheaves have been around for awhile, and have been used in many parts of mathematics, so I'm sure that somewhere there exists a body of work about their intrinsinic properties as a topological and algebraic object.
However, I can't find it. Are there old papers somewhere somebody could link me to? And old textbook? I'd really appreciate it!
There certainly are classic texts on sheaves and sheaf cohomology. Bredon and Godement are two. Sheaves and sheaf cohomology are also treated in Warner and most ever book on complex manifolds.