We like BitPanda because they have many payment options and good, low fees. They are available to most of Europe, but not the US or Australia. They also have pretty much instant buys.
Fees: BitPanda does not list fees but you can do the math once you see the purchase price.
Limits: Gold verified users can buy up to €350 worth of bitcoins per day, and up to €10,000 per month.
There are sellers that will accept NETELLER for bitcoin on LocalBitcoins.
Fees: Fees vary by seller on LocalBitcoins
Limits: No official limits since each seller can set their own limits.
What is Neteller?
Neteller is an e-money online service used for transactions online similar to Paypal.