You can get anonymous bitcoin debit card from several sites but their use will be limited, after verification(often it is an identity card and proof of address.) you can use it freely.
Some sites need a card to check your balance so you will be able to use the cards with that sites without verification.
Most sites like Google and PayPal need verified cards before using(to check your age and your bank information's).
this post about all cards https://bitcointalk.org/index.php?topic=1410577.0