Whilst the Special Air Service have many different insertion methods they still rely heavily on ground based vehicles. The Special Air Service' main three vehicles are the 'Pinkie' Land Rover, Honda motorbike and LSV (Light Strike Vehicle.)

Land Rover - 'Pink Panther' or 'Pinkie'
The Special Air Service use converted Land Rovers; their durability and ruggedness make it ideal for the Special Air Service. Whilst the premise hasn't changed much since the Willis Jeeps or WWII the actual vehicles have.
The Special Air Service now use a Long Wheel Based Land Rover, usually with a crew of three. They carry rations, water, fuel, ammunition, radios and navigational equipment and have an operational range of about 650km. The make up of the vehicle depends on the mission but the choice of weaponry is vast and includes the 7.62mm GPMG, the 7.62mm M60 machine gun, the 7.62mm chain gun, or 20 and 30mm cannon. There is a GPMG mounting at the front of the vehicle next to the driver and twin GPMGs or a heavy calibre gun can be mounted at the rear, in addition there is a belly plate for protection against mines and camouflaged netting fixed to the front so it can quickly be covered up.
The name 'Pinkie' comes from desert operations when the Land Rover is painted pink for camouflage in the desert and the land rover can be carried in a C130 Hercules or slung under a helicopter.
The Special Air Service use the Land Rover in their 'hit and run' operations where they'll just drive straight up to the enemy and unleash an awesome amount of fire power and retreat back into the night before the enemy can counter the assault.

Light Strike Vehicle
The LSV has some advantages over the Land Rover for Special Forces operations, whilst it has less fire power and a shorter range it is easier to camouflage, is smaller, faster and more manoeuvrable than the Land Rover, its lighter frame means if it gets stuck it can be manhandled out by its crew and its open frame design gives it a smaller radar cross section.
In short it's an excellent reconnaissance vehicle that was first used in the 1991 Gulf War. It is built by the British company Longline and can accommodate many different armourments; all calibres up to 20mm cannon, and is rumoured to have optional mounts for a MILAN or TOW wire guided missile system.

Honda Motorbikes
Like the LSV the Special Air Service use motorbikes because of there flexibility, manoeuvrability and speed, I know the used the Honda motorbikes and I assume they use the Honda XR 600 off road bikes. They'll use these for short range reconnaissance probably along side the LSV which will provide some fire support if they get into trouble. I'm told they also use Yamaha motorbikes.