Video from “ask a winemaker” detailing basket presses (aka vertical screw press) Thousand year old design still in use by many major wineries (eg Chateau Petrus). It uses pressure on a mass of skins by screwing down a lid. This causes cells to rupture and further releases grape contents. The only problem is that it’s quite labor intensive, requiring clearing out with a shovel.
In contrast, a look from a winery on the horizontal screw press. This is the more modern variation typified by the Vaslin press. It’s basically a basket on its side and uses pistons and cylinders to rotate around and release juice.