The variations other than all aluminum usually just refer to the front bezel. Aluminum + plastic, or aluminum + acrylic have non-aluminum material on the front of the case, some have acrylic/plastic on the side window as well.
Your run-of-the-mill full aluminum case would be one from the likes of Lian Li. Its bay covers are even aluminum.
Let me tell you Aluminum construction in any of its variants DOES NOT compensate for poor case design. IE the Antec Lanboy is aluminum, but does not cool for sh|t. Also, most aluminum cases use very thin metal because aluminum is expensive; and to exaggerate the weight difference. As a result most aluminum cases aren't very strong, so they dent very easily if you move them around. You can no longer use your case as a makeshift steplader to change bulbs in your ceiling fan (maybe that's just me). The typically thinner metal in aluminum cases is also more affected by the vibrations of your case fans; it resonates more. As a result a typical aluminum case will be noisier than a typical steel case with the same fans.
If you want a quality aluminum case, count on spending $125+. Personally I went back to nice heavy 1.0 SECC on my most recent case purchase. I recommend most people investigate the Antec SLK3700 AMG or the Compucase LX-6A19 when asked for case recommendations. This is not the case I use, only because I think this case will become very popular, and I wanted something different. If good cooling is your only reason for going aluminum, the well designed $39 steel CompuCase LX-6A19 will cool much better than any sub $125 aluminum case that I am aware of. It can also be purchased pre-modified from coolcases.com as a D-8000, although the mods double the price and are easy to do yourself. The thing to note about this case is you can get 120+ cfm through the case with the fans running at 7 volts - IE whisper quiet and huge airflow in a MID Tower. Going full tower and using multiple fans is the only way to get comparable results, and then you can go to any of the ever popular chieftec dragon varaiants and use quad low speed 8cm fans.
If weight is your main reason for going aluminum, get yourself a $20 luggage roller @ an office supply store, and use the $100 to upgrade your machine's speed. Alternately, put the $125 towards one of the many small form factor PCs that are coming to market - these are very light.
Aluminum is lighter and does cool better than steel, but dimishing returns are obvious when you compare what you get for the extra money.