This is a list from a great root cellaring book I've owner for nearly 30 years. It was written by Mike and Nancy Bubel, and Rodale published it in 1979. A newer edition is still available in paperback (and I highly recommend this book). The information below is from my copy and provided here for educational purposes only, which the copyright law allows.
The Bubels cover many, many good ideas in their book from designs and personal observations to timely planting, harvesting, and which varieties store best. This list below is the general storage requirements for some vegetables and fruits.
Cold and Very Moist (32-40ºF and 90-95% Relative Humidity)
Broccoli (stores short-term only)
Brussels sprouts (stores short-term only)
Jerusalem artichokes (aka Sunchokes)
Cold and Moist (32-40ºF and 80-90% Relative Humidity)
Cauliflower (stores short-term only)
Grapes (need 40ºF)
Cool and Moist (40-50ºF and 85-90% Relative Humidity)
Sweet Peppers (45-55º)
Cool and Dry (32-50ºF and 60-70% Relative Humidity)
Garlic (keeps better at 50% RH)
Moderately Warm and Dry (50-60ºF and 60-70% Relative Humidity)
Dried hot peppers
Green tomatoes (up to 70ºF is okay)