... I want to make sure if it is still a solid exchange for EU countries? Have they had any problems recently and is it worth it to verify my acc there?
Different people have different preferences. Bitstamp as of now is still one of the
"reputable" ones but we can't hide the fact that there will always be a minor or major problem that will experienced by others which is usual even on much bigger exchanges.
If you are fine and comfortable with deposit methods = OK
If you are fine with the fess = OK
I really can't compare it to other exchanges because of some factors.
About verification, well it's really usual today for a centralized exchange to implement KYC. Is it worth? Yes if you really want to take advantage of account limits.