Creme caramel/panna cotta
In my family we'd call that a creme caramel, not a pudding.
Edit: Snap, Aery
It's crème caramel. It is a cold pudding.
Definitely not panna cotta.
Here, that thing is called flan.
Here, this is a flan:
The name of the picture is "flan tart" which would be accurate here, if it's a flan flavored thing made in a tart pan. But the thing that's on the plate with the caramel sauce is a flan, which you call crème caramel.
A savory thing would have a different name here. If it had a pastry bottom ad open top, but not with a custard filling, it would be a tart. If the filling was mainly egg it would be a frittata. If it was egg+cream, and had a pastry bottom, it would be quiche.
To me, a frittata is an omlette-type thing. Quiche is the same as that, though. And we use tart too, as a kind of 'general' word for the style of food that quiche and flan are specific forms of.
Here, this is a flan:
If Friends is anything to go by, Americans pronounce flan differently too.