Some vehicles require different patterns. Unidirectional tires shouldn't be crossed over, and older bias ply tires should also not be crossed. If your vehicle has different size tires on the front and rear, obviously you can't switch them. In such a case, simply move rights to the left and vice versa. If you have a full-size spare tire (that is, a real tire, not a small "donut" spare), you should include the spare in the rotation so all five tires wear evenly. Follow the normal rotation pattern, but put the spare at the right rear corner. Whichever tire would have gone to the right rear goes in the trunk and becomes the new spare.
Don't overlook tire rotation. Just a few minutes of maintenance will keep your tires wearing evenly, improving your car's handling and overall performance.