For Danish please see this page: What is tha meaning of “dhanish”?
Rimsha is an alternate version of Ramsha, which means "wink" if you pronounce it with a short a at the end, as in [(RI)pple + (M)oon] + [(SHU)t]. If you pronounce it as Rimshaa with a long a sound at the end, as in [(RI)pple + (M)oon] + [(SHA)rp], it becomes another version of the name Ramshaa, which means "a woman with beautiful manners". It is the feminine version of the boy name Armash, which means "man with beautiful manners.".
None of the above names are Quranic, but since their meaning is good Muslims can use them.