Uhm, urinals in locked stalls requiring gender-specific stalls? Why? Once one is inside, no one can get in.
Also, I've ever been in a place where there weren't gender-specific bathrooms. No memory of where. Instead of the limited privacy stalls with large gaps in the bottom and top and a gap when the door is closed, stall walls spread from the floor to the ceiling; the doors too, and there was no gap. Urinals were in the same kind of stalls. It wasn't especially dirty; men and women shared the place without the slightest hint of awkwardness or bad comportments.
If stalls are properly made, there is actually no difference between a shared genders' bathroom and a kitchen with a sink in which a few doors lead to individual washrooms... People walk into the stall dressed; do their thing 100% privately; walk out dressed; wash their hands; leave.
The only problems there might ever be would be mis-aiming men... But I think a mere "If you're not able to pee standing without splashing anywhere, SIT" sign would do the job. Men have pride. Plus, I think the reason a lot of men don't really care about the mess is "we're all men who stand and do a mess, not caring since we seldom sit". Interaction with women changes that.
In the small two-toilet mixed gender bathroom of my school, which is the only one available in a set building BTW, any mess is RARE and even when it happens, it's minor (clearly one person), whilst in the other building's mixed bathrooms, all toilets are usually super disgusting. I think that's some kind of proof.
And if you think about it, it's not any more expensive than two bathrooms. The money you lose in better stalls is probably saved from the lack of a necessity to prepare two distinct rooms with two sets of sinks and all.
The same would go for a locker room. People usually change in public, or partly do, leaving the private spots (if they exist; not often in mens' rooms) to the most timid and/or just for putting on underwear. But if you split it all up in separate stalls which you enter dressed normally and leave with your sports clothes, or enter dirty and leave clean and dressed, there is no need for the primary separation in the first place: the only ways men and women meet is exactly as they would in the gymnasium or hallway. And it's not all that much more expensive: I'm pretty sure 90%+ of the cost of adding a shower resides in the plumbing stuff; yet there is already a whole lot of those in mens' "showers" which consist of a large room with 10-30 water outputs.
Actually, this formula is just a lot more privacy for everyone, if you ask me.
(I really feel like I'm hijacking this thread. o.o)