Mac mini relationship with 3rd party displays.

Hi everyone, first of all english isn't my first language so please take that into consideration when judging my spelling haha.
So, I have a friend flying to NYC in a couple of weeks and I'm considering buying an Apple mini but the problem is that I live in Argentina so getting an Apple Cinema Display is nearly imposible. Therefore i must use a third party display and since in the past i've had some problems regarding a Macbook Pro and a non-apple display I was wondering if any of you can tell if my past problems were a one time thing or if there actually are some displays that don't play nice with Apple products.
Thanks!