IDs required please

[Chris in Leeds]

Thanks Ralph if the other one ever flowers I will see if it matches either of them
When they finish flowering I'm going to repot them

[Detlev]

My suggestions:
1 Gymocalycium calochlorum (probably not G. bruchii)
2 Parodia sp. (microsperma?), as already discussed
3 Gymnocalycium achirasense (or G. horridispinum)
6 Mammillaria bocasana (obviously the red flowering cultivar, which was created in the German cactus nursery Haage in the 1970s)

[Chris in Leeds]

So today this was flowering any name ?

[Chris in Leeds]

Sorry about first image forgot to preview it rushing as on way out

[Terry S.]

Parodia pendens (AKA P. microsperma in a broad sense)

[Phil_SK]

I agree on microsperma but pendens? Not even the bottomless pit of random names that is google can find "parodia pendens" - where have you seen this name?

[Terry S.]

Just invented for a plant growing downwards! Apologies for Terry's abstruse sense of humour.

[FredG]

Just invented for a plant growing downwards! Apologies for Terry's abstruse sense of humour.

[Phil_SK]

Oh dear! I really need to take cactus names less seriously if I can't see that for looking!

[ralphrmartin]

Go on Phil, just show him. Make him Terry suspendens for a day, as a punishment!