Get rid of the concrete. Concrete slab driveways force runoff to go in one direction, and don't allow for water to enter the ground on the surface.
Try gravel. After a base layer is constructed, a grid is laid out to prevent the gravel from compacting into the soil. Afterwards, the gravel is laid out on top of the grid.
Use permeable pavers. These concrete tiles are alternated with sand or grass to make a geometric patterned driveway. The permeable pavers are a good option for someone who wants the look of a concrete driveway with the benefits of an eco-friendly driveway.
Think about grass pave. A plastic honeycombed grid is laid out, then grass grows over it, making the finishing results identical to the rest of the lawn. The grid prevents root compaction. However, since there is a limit to the amount of fumes and weight the grass can take, it is necessary to let it rest and regenerate periodically.
Consider hiring a professional. It is necessary to make sure the driveway will hold the car's weight, or it will sink. Drainage and other factors also need to be considered. A landscape architect or designer are the best bets for this advice.