I do not believe women have achieved less than men.
How are we going to score it? Do we subtract all the things like wars, that men have 'achieved'? Because I would suggest that perhaps the deaths of tens of millions of young men in the trenches in WWI is not quite the sort of 'achievement' that looks positive on a resume.
Yes, men have been 'in power' while women haven't, but the results are not entirely positive.
Without women, centuries of children would never have learned to read. Women held the keys to written culture for centuries. That absolutely fascinates me, that centuries before women were allowed into university, you would struggle to find a man who didn't owe the fact he could read to a woman who taught him.
I would set that sort of fact against, say, WWI.
Incidentally, a really interesting book (which is totally male-centric) that got me thinking about how we ought to value supposed 'achievements' of men down the centuries is this one: www.amazon.co.uk/Into-The-Silence-Mallory-Conquest/dp/0099563835
The author explains how many decisions by men during the war were stupid and resulted in huge death tolls - and then the survivors ended up going off to climb Everest, risking their own lives, killing quite a lot of 'native' porters because they didn't really treat them as humans, and leaving their wives bringing up children on their own. It just shocked me how much selfishness and ego went into things we now think are 'achievements'.