Kraken.com is a pretty nice exchange. You can fund your account with USD, EUR and cryptos. Most of the popular cryptos are up for trading at the exchange.
There are limits if you don't officially identify yourself.
One warning: set up two-factor authentication for everything in the security settings. Not only for logging in or trading, but every option.
You're not going to be able to buy much of anything for cash on an exchange if you don't do the whole KYC thing.
Coinbase was pretty good for me until they nuked my account. I sort of miss them, but I miss Circle even more <sigh>. Coinbase is pretty reliable, and they're regulated, so they don't get away with bullshit that other exchanges might. Same goes for Kraken, I think. I was going to give them my identity to be able to buy with fiat, but they couldn't read my drivers license from the picture I sent them, so I said screw it.
Are you in Germany? Not sure if Coinbase is available for countries other than the US, so maybe someone here can verify that. Stay away from exchanges like Yobit and ones where you can't find any info about who runs them.