What the US calls a “bulb” is called a “lamp” in the UK.
“Table lamp” means the same thing in both regions.
“Standard lamp” in the UK is a “floor lamp” in the US.
“Light fitting” in the UK is a “light fixture” in the US.
A decorative ceramic moulding around the Light fitting in the UK is called a “ceiling rose.” The technical name for this in the US is “medallion” but most people don’t use that name at all, as these are much less common In the US.
These are used in the US for ceiling fans, but then they are usually metal and are called the “canopy.”
And “smart bulb” is the same in both places.