These 'rage comics' tend to have been drawn hastily on microsoft paint and all have a similar but not identical visual theme. Rage comics express extreme emotions that we all experience but struggle to actually express because they are so extreme. Take a minute to look at a few of these expressions, I'm sure you can empathise with how each of them feel even though their features are over exaggerated to the point of abstraction.

Screen prints are wonderfully flat and look almost digital. I could try using a bamboo ink pen or a nice long-haired brush and a pot of black sign painter's one shot.
Each of these three materials get a great hard-edged, opaque black line but each would come out differently.
If I did an animation I think that I'd use Microsoft Paint like the originals to make each frame, one by one.
Here are a few examples of screen printing they are by: Shepard Fairey, Andy Warhol and Jean Michael Basquiat.