Dear @MoniLink, thank you for sharing a question with the Wefugees Community!
With a Niederlassungserlaubnis (permanent residence permit) it is possible for you to visit all of the Schengen countries without a visa. You are allowed to stay in the Schengen country you are visiting up to 3 months (90 days) in a period of 180 days.
For the EU-countries that are not part to the Schengen Agreement like the UK, Ireland and Cyprus it is probably necessary for you to apply for a visa. You can do this at the embassy of the regarding state.
It is just very important that besides your permanent residence permit you as well hold a passport, f. e. of your home country or some kind of equivalent because you have to be able to show identification.
I hope this helps and feel free to get back to us with any further questions!
All the best, Melina