So many, where to begin?
First, your and you're. The former is an indicator of possession, the latter is a contraction of you are. Not difficult.
Second, there, their, and they're. The first is an indicator of location, the second is an indicator of possession, and the third is a contraction of they are. Again, not difficult.
Next, then and than. Then is an indicator of either time or order, than is used to compare things.
Also, could of, would of, should of, etc. I can see why you would make this mistake if you've barely ever read written English, the contractions could've, would've, should've, etc. sound very similar. But it's could have, would have, should have, etc.
Note how I used etcetera several times above. Note it is etc. not ect.
No onto things that aren't mix ups:
Hilarious. According to about half the internet, especially TVTropes, anything that is even remotely funny is hilarious. No. Hilarious things are extremely funny.
Finally, misogyny and sexism. These two go together. Misogyny (this applies to misandry as well, but you see that much less often) denotes hatred of women, it is not synonymous with sexism against women. Similarly, sexism implies discrimination because of gender, not just discrimination against women.
Ah, it felt good to let that out.