If you want to read and write RFID cards, that would be the way to go. These are the cards that are automatically read from a reader embedded in a door (or whatever.) What you see in your example is an interface and will require a microcontroller or PC interface and programming to read and write to the card.
If it's RFID you are interested in, you can search for "RFID" and get a lot of hits. You can search here for RFID and see what discussion threads come up.
Same with "Magnetic stripe cards." These are the cards (like your bank card) http://www.sonsivri.to/forum/index.php?topic=47516.0
is a thread I participated in.
To build a system is (obviously) going to require some research and time. Once you figure out what you want to do members here will be glad to help.