In the 2011/2012 Stampin' Up!® Annual Catalogue they had room for a table showing which adhesives worked best with which materials. I have taken the information from that table and updated it for some of the newer adhesive options.
2 Way Glue Pen - Permanent & Repositionable - works best with Paper, Card & Glitter
Crystal Effects - Permanent & Creates a 3D effect - works best with Paper, Card, Ribbon, Chipboard, Buttons, Glitter & Clay.
Glue Dots - Permanent & work well sticking 3D objects - works best with Paper, Card, Ribbon, Chipboard, Buttons & Window Sheets
Anywhere Glue Stick - Permanent - works well with paper, card & fabric.
Sticky Strip - Permanent & works well sticking 3D objects - works best with paper, card, ribbon, chipboard, buttons, glitter & window sheets.
Stampin' Dimensionals - Permanent & work well sticking 3D objects and creating 3D effects - works best with paper, card, ribbon, chipboard & buttons.
Multipurpose Liquid Glue - permanent, repositionable, works well sticking 3D objects - works best with paper, card, chipboard, glitter & clay.
Big Shot Multipurpose Adhesive Sheets - permanent - works well sticking paper, card, chipboard & fabric.
Shaker Frames - adheres the same way as Stampin' Dimensionals but shaped to work as a seal for shaker cards.
Jumbo Sticky Rounds - permanent - works well for creating rosettes, flowers etc using paper, ribbon & fabric.
Click on the pictures for more information about any of the adhesives shown above.