I recommend fake stained glass as an easy project with a pretty outcome. The best thing about it is that it looks good even if you mess up, because real stained glass often has flaws too. You can buy the materials at any large craft store.
Basically, you first choose an item made of glass to “stain”. (I recommend something flat, or with flat sides, for the first few projects.) It should be regular, clear glass- no raised designs or anything. Squared-off bottles and canisters are good. You can generally find many to choose from at places like Michaels.
Next, you decide what colors you want to use. You can use as many as you want. Find the glass staining aisle. You’ll find the “stain” in bottles. They look like the “puffy paint” stuff used on fabric. There’s a little squeeze tip on a plastic bottle. Gallery Glass and Delta are a few brand names. Sometimes it will be called glass paint or window color.
You’ll also need “leading” for the lines in the design. (The black or gray separating lines.) It will be called Simulated Liguid Leading or something like that. It comes in lots of colors, but black and gray are most common. It often comes in larger bottles than the colors.
Once you have all the stuff home, you plan your design. You can draw them on the glass with a sharpie, if you want a guide to follow. When you’ve finished planning, carefully apply the leading for the lines. You do this straight from the bottle. If you draw well, you can do elaborate designs. Even a simple geometric design or random pattern looks good though. If you screw up, just wipe it off with a paper towel or q-tip while the leading is still wet.
Tip: This is a no-brainer, but if you have a glass piece with sides, only apply leading and stain to one at a time.
When the leading is dry (about 3 hours to one day, depending on the thickness of the leading and size of the piece), fill in the spaces with the colors. Some people like to use a brush to apply the stain. This will make it more translucent. You can fill it in from the bottle as well. It is easier and the color will just be more opaque. The leading holds the colors in place, so there’s no danger of messing this part up!
Let it dry and repeat the process until you’ve finished.
I’ve made some great stuff this way. Easy as pie. They make nice presents too, especially if you fill a canister with candy, potporri (sp?) or some other goodies. 
Disclaimer- You must NEVER, EVER eat off of the stuff you make or microwave it. You also cannot put it in the dishwasher. It isn’t functional stuff, aside from putting things in them. They’re decorative pieces only.
