Is there a pushup variation that's considered to be the same difficulty as a bodyweight bench press?
i think you get a closer correlation with dips than pushups - but as Steve said, "... a bodyweight bench press is nothing to write home about" and it's not a standard for anything as any beginners bench press strength program will have you blowing through a single rep bodyweight bp in the blink of an eye. Ive never heard anyone ask, "can you bench your bodyweight?", lifters tend to think in blocks, in the States we talk about plates, mostly 45s, sometimes quarters. so when you are a beginner you will be thinking 135 to get your technique, then once you start your first program, 185, then 225, then 275, then 315, then 365 then 405 and then im sure there are many in this forum who press 455, 495, etc. You very rarely see a lifter training with pushups - single arm maybe - but heavy dips are a standard exercise in any benchers routine. work on dips for a couple of months and i think you will find a bodyweight bench press to be a piece of cake.