Asking price: $899,000This Tarrytown two-story was built in 1940, but it’s hard to see that underneath all of the not-great wood paneling, miles of wallpaper, and general clutter inside. The current owner has lived there for 60 years, if that tells you anything. It looks to have great bones and includes a guest cottage with kitchen and bath. Plus: location.

Asking price: $869,00This Clarksville cottage has obviously been enjoyed by lovers of color and life—the bright scheme continues inside and includes a painted-purple dining set. It was built in 1941 and has original features; at 2,161 square feet, four bedrooms, and two and a half baths, it’s roomy and on a private-looking, foliage-filled lot in a highly desirable neighborhood.

Asking price: $395,000You want Central East, you have to pay—even for a fixer. Three bedrooms, three bathrooms, 1,368 square feet. The home was built in 1950 and is in the transitioning area near East Seventh where a number of urban farms are located.

Asking price: $658,000This large 1947 home (3,197 square feet, three bedrooms, three bathrooms) looks like a find as much as a fixer, but we don’t know the structural details. It’s a 1947 build with some fantastic design features (stone-faced partition walls, fireplace, sunken rooms, apparent lack of any trim or molding) in the lovely, central Wilshire Wood neighborhood.

Asking price: $600,000If you’ve ever wanted to fix up and live in a church, here’s your chance—though it’s possible you had something more ornate in mind. This 1,221-sqare-foot house has 0 bedrooms (because: church) on a fair-sized lot. It’s spitting distance to Holly Street and the northeast lakeshore that’s going to explode with development in the next few years. Whether that’s good or bad depends on your point of view, of course.

Asking price: $200,000Built in 1966, this three-bedroom, two-bathroom house is in the Georgian Acres neighborhood in North Austin, currently largely a rental community due to still-reasonable rents. It’s 1,040 square feet of space, and there are no interior photos in the listing.