not really, kraken is a good example of a very good exchange, that not require verification, it was never hacked, like some big exchange that say they are super secure cough bitstamp cought
for the OP, try kraken(euro exchange), but they work with usd too
If I can say my personal opinion, I also suggest kraken for exchange your bitcoin for euros (or viceversa). As Amph said, they don't require a verification but your account will be limited to 5k € per month (a good limit IMHO). I trust them, more than bitstamp or bitfinex.
the deposit is actually 10k dollars, so much more than just 5k euro, but you need tier 2 verification(which don't require any id)