For photos and paper: 3-L Scrapbook Adhesives E-Z Runner - Permanent http://store.scrapbook.com/jv-1645.html
For vellum: 3-L Scrapbook Adhesives E-Z Runner - Vellum Tape http://store.scrapbook.com/jv-1643.html
For thick paper objects and heavier stuff (non-metal): Glue-Dots Memory Book http://store.scrapbook.com/gluedots.html
To raise items off the page: Pop-dots with foam in the middle between the adhesive sides (no photo)
I don't use much metal stuff on my pages, but when I do I borrow my friend's Making Memories Metal Adhesive.
All adhesives I use are acid-free, of course!
As I said in another post, I used to use glue sticks but that was too messy. I ended up with lots of fingerprints and lines from the glue on the photos.