Rice (where we met!) has a beautiful campus that's nice to walk around. Parking is limited and expensive, but if you're staying in our hotel block at the Marriott downtown, you can take the Metro Rail from right outside the hotel directly to Rice (https://goo.gl/maps/7xSeXaazNh9Fk6kS8)
Rice Village is a shopping center near Rice, with lots of great restaurants and shopping. For restaurants, it's got some great Texas chains like Torchy's Tacos, Velvet Taco, Hopdoddy Burgers, and Local Foods. For shopping, there's a mix of local boutiques and chain stores.