I don't think that women have to ask men out on dates. I think there are a lot of things you can do to show that you have interest - like making eye contact with someone you're interested in and being someplace where you can make that eye contact - like a bar, store or gym. Read this article about why women seem to spend an extraordinary amount of energy repelling unwanted attention which just ends up repelling everyone and men are just tired of being repelled.

https://franklinwuhoo.medium.com/have-women-completely-given-up-on-men-8ead16dae877

Now if you want to have some success, just do the opposite of what this article observes which is to stop burying your eyes in your phone, use open body language, smile and look around, reduce the distance to your target and if that guy is interested in you, he should make the move. If he doesn't then you can at least start the conversation and read the room. If you sense he likes you, then do ask them out in a casual flirty kind of kidding way and see how they react. Maybe talk about movies and then suggest you go see one together. It's just that poor men have been beaten down to death and have simply lost the will to try. It would be extremely refreshing to find a women who appears to like them and isn't going to mace them.