I don't see a photo or a link in your post, but I presume you mean the regular
tile size for Scrabble tiles.
The metal loops with threaded shanks are called "eye screws
." They can be purchased in any hardware store in various sizes.
To get the really small ones though, you may have to go to a hobby or craft store then look in the "miniature wood things" section rather than in the jewelry findings section. Hobby stores also sell lots of things for making miniatures and dollhouses, etc, so could also be in a different area there.
Various online jewelry suppliers (firemountaingems.com, etc.) should also have various sizes, and even some online hardware suppliers or dollhouse suppliers.
To use those, you may have to drill a pilot hole first to keep the wood from splitting as the shank is screwed in or just if it's too hard to screw into plain wood (depending on size of shank and type of wood used).
You could also glue in
an eye screw (into a large hole) instead of screwing it in, or instead of an eye screw you could
use an eye pin
(which also has to be glued in**).
An eye pin is a wire jewelry finding that has a loop at one end and a long shank (which can be cut to any length with wire cutters or even toe/fingernail clippers). You'd have to make a hole for eye pins though since there's no sharp point or threads on their shanks. (Eye pins can also be made at home from wire, using round-nose pliers.)
Often super glue is used as the adhesive, but since the material you're using is probably bare wood (in the hole), you'd probably want to use an especially strong
"white glue" (e.g., The Ultimate!" by Crafter's Pick, Weldbond--Universal Adhesive, etc.), or a regular white glue (Sobo, tacky glue, Elmers GlueAll), or use another type of glue--like a 2-part epoxy resin, E6000, or even Gorilla Glue (though that swells as it sets and is yellow). A clear "cement" type glue might work too, but has no flexibility.
**when embedding eye pins (or head pins) into polymer clay
pendants or other danglies, if you ever do that, no glue is necessary if the shank is bent
before being inserted into the clay (and clay is snugged back around it):http://www.glassattic.com/polymer/pendants_cording.htm
> Full Loops