Adam
Check the interior layout. Could be done with a lower ceiling, too.
Excellent storage in island. Check out the photos in the Learn More section.
Downdraft
Induction with pop up downdraft
TVs on lifts - good for hiding them
Multiple TVs for gamers hidden by artwork
Check this business - one idea for hiding TVs
A beverage pantry might be worthwhile. One with a beverage fridge below, a spot for a coffee maker, place for glasses, etc., might keep folks out of the way when you are cooking. Ask me about this, please.
Read the write up on this kitchen as it talks about many of the things you wanted. Also, the induction cooktop cools instantly when it is turned off. This might be a safety feature worth considering on an island.
Drawer under cooktop for frequently used items
Window treatment - layered shades and drapery
Check out some of the varieties
Check out this kitchen. Notice how the cabinets continue through the dining area. These could be configured for gaming. Great storage space whether with built ins to match or contrast with the kitchen cabinets or use furniture so can adapt to changing needs.
Closet
Q