Flying around the internet is an animated GIF of all the MLB logos since 1876. You really need to click over and see it. (I don’t want to illegally steal it by posting the image here).
It’s fun to see how they change overall over time. At the very start, all the logos were simple monograms. The monograms started to fade away, and by the 1960s the logos became very clip-art-looking. Then the clip-art faded away in favor of showing the names of the time in bold text by the 1980s. The 80s also saw almost all the logos inside circles.