https://xkcd.com/977/ has better ones.
By the way, most online maps (such as Google Maps) use a variant of Mercator, because otherwise shapes and north-south vs east-west distances (when you're zoomed in) are highly distorted.
I think Mercator and Gall-Peters type projections are both just about equally as bad for global views. Africa and other equatorial areas are heavily distorted whereas mid-latitude areas are fairly accurate, so it's just as US/Eurocentric as Mercator.
The projections which compromise shape distortion and size distortion are pretty good, like Winkel-Tripel. I think I prefer the projections that preserve both shape and size while ripping the map along oceans. Like Dymaxion.