Cheers is in Fallout 4! I'm sure this is old news to a lot of you, but I just stumbled across this in the last few days. I honestly don't know why it took me so long, as I'd been in that area dozens of times, but the entrance is somewhat hidden, what with it being below ground level and all. It's called "Prost" in the game, which is German for "Cheers." Here are some screenshots! As always, click to embiggen.
Here's the staircase that leads down to the door.
The wooden revolutionary soldier replaces the statue of Tecumseh, and the staircase leading up to Melville's has been flooded with debris.
The view from the doorway. Is that Frasier slumped over the bar?
At first I thought that was Woody serving drinks, but the skeleton is wearing a dress. Perhaps Woody is a cross dresser in the Fallout universe? Nothing wrong with that!
Norm & Cliff!
Sam and Diane, I presume.
Better view of Cliff & Norm. Note the postal uniform and hat, in case there was any doubt.
The jukebox, along with various signs.
The entrance to Sam's office.
Sam's office. Note the baseball glove and baseballs, references to Sam's former career as a relief pitcher.
The hallway leading to the pool room...
... and the pool room itself.
Pretty awesome, eh? Some of the details are a bit different, but they got it pretty damn close overall.