Yes and they should all work. All of mine certainly do.
The first thing Sony did when acquiring Konica-Minolta's camera division is release DSLRs with the same mount. These were named Alpha which is the same name Minolta used in Japan, they used the Maxxum name in North America and Dynax in Europe. In other words, Sony Alpha mount IS the Minolta Alpha/Maxxum/Dynax mount.
Note that Sony offers two full-frame models, the A900 and A850. With these models, the field-of-view of your lenses will match exactly.
They also have cropped-sensor models such as the A580, A560, etc. With these models the field-of-view is affected by the 1.5 crop-factor. So a 50mm on one of these, will show the same field-of-view as a 75mm on your film camera.
Note that Sony also has non-DSLRs that use the Alpha mount. These are cropped-sensor cameras with a translucent mirror and electronic viewfinder (EVF) which are lighter than DSLRs and have special features like full autofocus during video recording and during 10 FPS continuous shooting. The flagship of these models is the Sony Alpha SLT-A55.