Beth, where do you live? If it's Mid-Atlantic to Florida, you could try the Southern Living Plants Collection link, put in your USDA zone from the map, and search specifically for drought resistant plants. It even has deer-resistant plants. I use this tool quite a bit.

http://southernlivingplants.com/the-collection/

Yes, do some research on your specific area. Native plants are a good bet, because they have lived in your area long before us folks. You might find help at your local university extension center. You might find help Google your plant zone and "native plants". The Lady Bird Johnson Center in Texas is a good place to start, no matter what your region is because it has links to get your started.

I live in California - and we are in such a bad drought season! So staying away from grass as much as possible.

This link is to the UC Davis Aboretum all star plant list. They are all supposed to be drought tolerant.

Hi there! I have just spent the past week researching native plants for California. You absolutely can have a beautiful colorful garden - visit Las Pilitas nursery's website for a great education (they also sell online, but you can use the information to chose wisely from local nurseries). There is so much more than just some grasses or succulents available! Have fun...