The original card is the first one on the left below, and it was a Convention Make & Take, done with the Wanted set. On that card, the foldover flap actually opens to show the inside of the card. The foldover card above, as well as the Happy Birthday foldover card below, both feature pull out cards (with tabs). The Happy Birthday pull out tab is shown separately below, so you can see how to fit a gift card in between two Slit Punch tabs.
When making vertical foldover cards, cut a sheet of card stock or designer paper to 4-1/4" x 11", then fold in half to 4-1/4" x 5-1/2". Score 1-1/4" from the open end of the front flap, and fold over. If you want to create a pull tab, you'll want it to be no bigger than 3.75" x 5".
When making horizontal foldover cards, cut a sheet of card stock or designer paper to 5-1/2" x 8-1/2", then fold in half to 5-1/2" x 4-1/4". Score 1-1/4" from the open end of the front flap and fold over. Again, your pull tab will fit best if it is no bigger than 3.75" x 5".
There are a few ways to keep your card closed if you want to do a pull tab. Two methods pictured here are tying ribbon around the card, and using a staple at each side of the card. You can also use eyelets or brads, but remember that you may have to adjust the size of your pull tab section to fit between the items you are using to hold the card (pocket) closed.
The scalloped edge under the main card was made by removing the plastic corner "guide" from the 3/16" Corner Rounder Punch, and punching along the edge of a piece of Soft Sky card stock. The scalloped edge was placed under the edge of the fold before it was adhered.
Blue Bayou Thank You Card Supplies: Short & Sweet stamp set, Blue Bayou card stock, Soft Sky card stock, Blue Bayou Prints Designer Series Paper, Blue Bayou ink, Soft Sky Double Stitched Ribbon, 3/16" Corner Rounder Punch, Round Tab Punch, staples.
Wanted Thanks Card Supplies: Wanted stamp set, Fundamental Phrases stamp set, Naturals Ivory card stock, Really Rust card stock, Outlaw Designer Series Paper, Chocolate Chip ink pad, Really Rust ink pad, Chocolate Chip Wide Grosgrain Ribbon, Linen Thread, Pewter Jumbo Eyelets, 3/16" Corner Rounder Punch, Crop-a-Dile, Scallop Circle Punch, Stampin' Dimensionals.
Fun & Fast Birthday Gift Card Supplies: Purely Pomegranate card stock, Groovy Guava card stock, Purely Pomegranate ink pad, Groovy Guava ink pad, Groovy Guava Double Stitched Ribbon, Blender Pens, 3/16" Corner Rounder Punch, Round Tab Punch, Slit Punch, staples.