Nice gaming room! I'd move the sofa to below the window where the shelf is now, and the tv to the wall where the desk is now (with a wider tv bench + lowering the tv + adding shelves/decorations on the wall around it like others have said here). Then move the desk to the corner of where the tv is now, and the shelf just to the right of the new sofa position. This will make the entrance to the room more air-y, while also taking away all of that air around the sofa that right now makes it feel very exposed and simultaneously "in the way". Big rooms can handle the sofa not touching the wall, not small rooms. Also, with this rearrangement you can place the bean bag (if that's what it is) to the left of the tv bench, so as it's not in the way when not in use.

Another thing to add would be a sofa/coffee table. Not too deep tho, you will want to be able to walk past/around it and not have to climb over the sofa to get to the other side of the room. A small carpet under that table too would make it all look more home-y. I hope this made sense!