Question: My instructions that came with my kit said that I should let the bottles sit for 3 days, then age in the fridge for 10 days. If I don't refrigerate, will I get bottle bombs?

Advice on forums and other places says to leave them in the bottle for two weeks or even upwards of a month, I doubt every brewer has enough fridge space to store 5+ gallons of beer for 1 or 2 months. So, I am inclined to think they won't blow, unless I bottle with too much unfermented sugar in them. 

Will leaving them out in room temp, cause them to pop?
Are there any other reasons for me to refrigerate my beer, aside from taste?

Answer: 
I do not refrigerate my beer until it is ready to drink, generally about 2 weeks after bottling. I will leave it at room temperature, out of the sun, indefinitely from the time I bottle it until I am ready to drink it.
I agree with DAX, have put bottled beer directly into the fridge. It takes about 3-4 weeks, but will carbonate. The carbonation may be finer (smaller bubbles) but is adequate. Don't think it really adds much just did it many years ago as an experiment, comparing to room temp carbonation from same batch