What is the difference between crème anglaise and crème pâtissière? I am amateur and novice baker. I cannot differentiate the two recipes. Are they only different in proportion?

I know that the two are egg-based, mixed with sugar and starch and tempered with milk (or occasionally fresh cream) previously boiled with vanilla bean and then heated until it thickens. So what is the difference between the two?
Crème Pâtissière is a thicker mixture, and is usually used for filling a pastry. It would be rolled into, or injected into something that would then be baked. As such, it needs to be thicker, so as not too leak out, and usually more flavourful, as it is the main flavour in the pastry.

Crème Anglaise is what the English would call custard. It is usually served as a "sauce" for sweet dishes. A classic dish would be apple crumble, served in a bowl with custard around it. The custard is there to add richness, and complement the flavour of the cake, and is therefore usually more subtle in flavour.