Manufacturing with recyclable materials makes closing the material cycle possible, but does not close the loop. It just passes the responsibility to someone else.  Today much recyclable waste is not recycled.  For example, the US and other countries once shipped most of their recyclables to China or other countries, but China and other countries have stopped accepting bales of recyclable materials, they have more than they are using. 

Manufacturing products using recycled materials does close the loop, at least for a cycle.

Aluminum may be a better recyclable material, because it can be recycled many times, while, with current processes, many plastics can only be recycled a few times before the quality degrades too much.  Aluminum is also very energy-expensive to produce (aluminum.org says 5% of US energy!?), so it pays to recycle it.   

Which laptops are being manufactured from recycled aluminum?

Really, you think the recycled paper and plastic are the relevant bits? That's just marketing. A chassis from aluminium is also "recyclable", you just scrape off the coating and melt it - and it can improve component livespan by a bit if used as heatsink. The real deal is the promised repairability and upgradeability - let's see if they have two SODIMM slots and modular components like a USB daughter board, charger port daughter board, and if components like keyboard and batteries are both easily replaceable and actually available.