You can have more than one list as part of your single account, at no extra cost. So you could have a list for him, a list for her, and a list for the kids. Or a comedy list, games list, a TV list. And so on.
Create an additional list by clicking on the link at the top of your main list on the 'My rental list' page

Give your additional list a name

Drag and drop the discs markers to show how many discs you want at home from each list

Repeat for as many lists as you want. When you return discs from one list, your next rental will be from that list, so you can always have one at home, whatever it is (game, one for the kids, a horror film, etc).