Galleria is just fine. First, its a relatively safe area. I work that beat at night and have been bored to tears, of late. There is plenty within a few minutes' walk of the Galleria, itself.
Hotels - Within a few blocks, you have 2 Marriotts, a Hilton, Intercontinental, Sheraton Suites, Doubletree, Indigo, Derek and a bazillion little offshoots of Marriott, Holiday Inn and Hilton. There are two Westin hotels attached to the mall.
Shopping - The Galleria is just sick with the variety available. Dozens of restaurants from Taco Bell and McDonalds to what I consider world-class. Scattered around the Galleria are a number of strip centers to occupy your time. A moderate walk or very short bus ride east will take you to Highland Village, with many additional shops. Houston Camera Exchange (my crackhouse) isn't all that far on Richmond, but you'll want a taxi or shuttle.
Food - In the Galleria, as mentioned above, you can slum at fast food joints, if you wish. There is a Bennigan's, which is a Yank interpretation of what an Irish pub should be (OK food, blase atmosphere) and there's a Cheesecake Factory in Galleria I. FOX Sports Grill and a few bistro-type places are farther down in Galleria III. I'm not too familiar with the places in Galleria IV
, as that's the new section. Across Westheimer (to the north) is the Grand Lux Cafe, which is owned by Cheesecake Factory, but focuses more on actual meals than desserts. In the same strip is Arcodoro (Italian), Morton's (steak) and Canyon Cafe (American southwestern fare). Catty-corner (to the northeast) is Maggiano's (Italian) and Kenny & Ziggy's (Kosher deli). The Sheraton has an Omaha Steaks restaurant. To the southwest is a new strip center with a Houlihan's sports pub and a sushi joint. Papparucho's (Mexican) is a few blocks south (of note: its across the street from where the two Animal Planet producers were hit by the drunk doctor in his Mercedes). Truluck's Steak & Stone Crabs is to the west a couple of blocks, as is the Capital Grille (steaks). Farther north are a high-end Chinese place, a good cafeteria, some Mexican places and a California Pizza Kitchen. To the east, there's a pricey Italian place called The Grotto and another named Piatto's. There's a Greek place - Yia Yia Mary's farther north and a great seafood place - Willie G's. Another cluster of high-end restaurants are in Uptown Park to the north. There are dozens of mid-range places along Westheimer to the west and east, but I'd recommend a taxi, unless you fancy a several mile hike.
Attractions - Not too many aside from the mall, itself, close by. More in another post, as I have to head out for a minute.