I posted this as a feedback to them as well, but I'm wondering what everybody else thinks about these ideas:

1 - "Store page" button on selected game, such that if it's a steam game, it sends you to the store page for that game on steam, either through browser or through installed steam.
2 - Make it possible to search other platforms stores, such as Steam, uplay, etc. Such that when we go to store, there's a separate button for 'X platform store'.
You could take this opportunity to highlight if GoG has better deals for a game a user searched on a different platform's store.
3 - Make it possible for users to group together games. I want to make my own 'Favorite FPS' group, 'Favorite RPG' group, etc.

While this would surely be helpful for customers, if I were gog, I would not make it easy for people to buy games from my competitiors. Do you have a specific mechanism in mind ? Because you can already to that with tags. I have a "completed" group: each game I complete gets the tag "completed" and I have a search bookmared that filters all games that have this certain tag.

Well it would enforce yet again the view that gog is more pro consumer than everybody else.
Besides, it's not that people will be less likely to search on steam, they would still do that, only switch clients.
It's mostly a convenience thing.

And also, as I said they could do it such that if you search for a game on steam, they will tell you "Hey, you can buy this game cheaper on our store!".

As for the categorizing, I would suggest something like Steam's collections. The drag-and-droppiness of it makes it incredibly easy and user friendly :)

Well it would enforce yet again the view that gog is more pro consumer than everybody else.
Besides, it's not that people will be less likely to search on steam, they would still do that, only switch clients.
It's mostly a convenience thing.
And also, as I said they could do it such that if you search for a game on steam, they will tell you "Hey, you can buy this game cheaper on our store!".
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Well, you asked for feedback ;o) I don't know, to me it seems not a good idea, but the people at gog may think otherwise at some point (look at the recent change in refund policy). I do not use steam, so its a definate "Yes, drag and drop is a very essential feature that is missing" with an asterisk.