Sportster 1200 Custom. WRAP YOUR FISTS AROUND THE DRAG-STYLE HANDLEBAR AND HANG ON TO A MOTORCYCLE THAT DOESNâT KNOW THE MEANING OF ENOUGH. For 2008 you have the option of the full, erialized Anniversary treatment shown here. But even before the 105th came along, he 1200 Custom had earned its place in history. The most powerful engine in the Sportster line gets the full chrome treatment here, long with a vibration isolation system. You ride with forward controls. Thereâs a sleek 4.5-gallon fuel tank. Chrome bullet headlamp and handlebar riser. So much custom, ouâll want to share. So a two-up seat comes standard.