Dear Zsuzsanna,

PRISMA and the Cochrane Handbook still remain the most accepted ones. Some journals like BMJ have their own reporting standards published, which are very good as well.

Best!

Thank you guys for the verification of the use of PRISMA and for the alternative ideas. 

Danke sehr für die Verifikation der Benutzung von  PRISMA und für die andere Ideen :)

I know I'm late for this but still wanna share what I know with other researchers who are interested in this topic.

MECIR, JBI SUMARI, PROSPERO, PRISMA (or formerly known as QUOROM), PICO, SPIDER, CONSORT, MOOSE, EQUATOR, AGREE II, AMSTAR 2