Seriously, I didn't realize you could do this!
Just try holding down the mouse button over one game and drag it on top over another one. The games will switch places!
Am I the only person that didn't know about this?

Actually, yes.
But don't worry, life is learning.

I always wanted to ask : can you download the games you buy ?

I was wondering if you could play the games you buy, but knowing whether or not you can download them would seem to take precedence.

Why would I want to rearrange my games on your account? That's silly.
Actually, I found out afterwards also, then rearranged my games by type (RTSs, RPGs, adventure...) and in chronological order (judging by the time period the story takes place, not the game's publishing date).

I also thought along that line lol.

The real heartstopper is when you try to switch two games and one of them disappears. Refreshing the page brings it back, but it's still a very bad moment.

This only works for the virtual shelf, right?

Can you buy the games you buy?

we put a gog in your gog so you can gog while you gog

I rearranged my games to have sequels or series together, but because there's a lack of version numbers (not the games version, but the version of the improvements) I rearranged them back to chronological order for back up purposes.

instead of telling you how i arrange my virtual shelf i just took a pic for you to see:

You mean in Shelf mode or in standard list mode ?
In shelf mode I know but I never was able to reorganize my games in "list" mode.

I've had that happen quite a few times and am no longer bothered by it, you don't even have to refresh directly but can continue to move around the "empty" slot.
As for my order, alphabetical by series' name. Can get a bit annoying when I buy a game that should be early in the list, like the recent promo for Gabriel Knight.

See, it's threads like this that quite clearly show GOG should have an option to allow public viewing of user's game shelves
Holy crap! Is there a game on GOG that you haven't bought yet?