I'm not even sure these were all part of the same anime but might as well give it a shot.
Specifically remember 3 scenes from it:
1. Main character (brown haired?) is walking down the street until he comes across a (blue haired?) woman being harassed by a pair of thugs. At first he just watches, but eventually things get rawnchy so he decides to finally act. Suddenly a mysterious power awakens within him, allowing him to beat up the thugs with ease. The woman then approaches him, revealing she's some kind of priest/oracle looking for for a "chosen one" as hailed by a prophecy, and the protagonist seems to fit the bill.
2. A quartet of demons (the four horsemen of the apocalypse?) spawn in a city and start to wreck havoc all around. I specifically recall a part in which a female demon enters a train and decimates everything on her path, until suddenly she stops in front of a regular looking businessman and gives him a seductive look before draining his life out and continuing with her rampage.
3. An older guy plus some kids are stuck on a facility in an isolated island watching news about the chaos in the city. The older guy comments about how glad he is for being safe on the island, while the kids complain that they're hungry and have no food. The guy suggests they could start a fire and cook their shoes since they're made of horse leather and thus technically edible. The kids get weirded out but he decides to try it out anyway and fails.
As a bonus this was probably in spanish, can't remember if it was subbed or dubbed. I've tried skimming over the synopses of shows that aired on channels that I watched as a kid but nothing seemed to match, so for all I know this could have been a local channel airing whatever they got a hold off without actually having a license for it.