Hi Ash Blue,
(1) are waxcaps (Hygrocybe) of some sort. These are very beautiful, many of them are uncommon, and foragers shouldn't really go around ripping them out of the ground.
(2) is a Mycena, looks like inclinata.
What can I say about (3)? You broke the law when you picked it, and you publicly incriminated yourself when you posted the picture. The law is an bottom, and that is Psilocybe semilanceata, otherwise known as a Liberty Cap or "magic mushroom."
(4) looks like a very wet Clitocybe rivulosa or Fool's Funnel, which is deadly.
and (5) looks like Arrhenia griseopallida.
ETA: I wasn't trying to be funny when I said the law is an bottom. It's a really stupid law, and you just demonstrated why. You are the second person I know of who has committed what is now a criminal offence and then posted the evidence online. The law assumes that everybody who might go picking fungi, for whatever reason (looking for food, worried about their kids eating it in the garden, generally interested in wildlife, etc...) knows this species. But why should they know this species? Unless they are specifically interested in finding hallucinogenic fungi, this mushroom is just one of hundreds of superficially similar grassland species, most of which are not particularly interesting.
It's worth repeating that second reason:
Worried parent finds P. semilanceata in the garden their toddler plays in - has no idea whether it is dangerous or not. Picks it, takes a picture, and posts it online. Parent is told that she did the right thing, because this is not what you want your toddler to be eating. In order to do the right thing, it was necessary for the parent to commit a criminal offence, and publish evidence of it. If that's not bonkers, I don't know what is.
Geoff