Land Rover or Land Cruiser. Diesel engined, for preference. In my opinion Land Rovers are the better choice. Nissan and Mitsu ok but not as good as the two above. Dont use a Jeep of any description.
Sand plates (sand ladders) and decent compressor are a must for sand, as is a GPS.
Also consider a Hi-Lift jack.
Make sure you can use them *before* you arrive in the desert. Practice.
Choose your tyres carefully - Michelin XS sand pattern best but also think about AT pattern for mixed road/desert/rocky ground. If you are spending more time in rocky areas like the Atlas ranges think about Michelin XZLs. Second spare a good idea.
Travel with a second or third car if you can. Travelling alone, especially if you are new to the desert, is dangerous.
Be sure of your navigation and take spare parts, medical equipment etc. Take rehydration salts as part of your medical kit, again, make sure know how to use it all.
Take enough water and fuel and make sure your containers are strong and do not leak.
If you take jerry cans, make sure you also take a flexible nozzle to fill with.
Enjoy - but be careful, desert travel is an addiction!
'91 LR 110 Def/Disco hybrid "Elsa"
Bring me the horizon....