The only reason I would ever use focus mode is to not show my opponent's rating, because I usually play better against higher rated players when I don't know that they are higher rated beforehand. Your first point negates one of the main advantages of focus mode.
Suggested Improvements for Chess.com

They do It's just that you have to have a Diamond Membership.(Like Me)

I would like to see captured pieces where they belong. What I capture should be on my side, not my opponent's, and vice versa. That's how it is in the real world. I don't capture a piece, reach across the table, and place it on his side; I keep it on my side. The software should emulate this.
(Actually, this applies to both regular and focus modes.)

zac_howland Far as I can tell the games are only available for the day. I would like ALL my games sent to me so I can review with chessbase.

Playing against the computer there is a fancy feature helping to emphasize the individual chosen move, its a lightbulb-icon.
Would be great to have this on any other game

1) In 'focus mode' SHOW THE RATINGS OF THE PLAYERS! 2) In Focus Mode NEVER have the close program [X] in the upper right hand corner. Far too many times I have meant to resign and reflexively hit the close program box instead of the resign button. 3) Enable use of FULL SCREEN as opposed to having the chess website address bar at top of the screen. This encroaches on the maximum size potential of the chess board. 4) enable alternative sounds options for low on time warning, captures etc.