Will science end?

[veti]

Two to start with:

Astrology. Never really was a science, but there are still believers even though it's been thoroughly debunked.

Alchemy: Was an attempt at a science, but made some basic assumptions that turned out not to be true.

There is a scientific side to astrology: it's about modelling and predicting the movement of the planets. Yes, I think it's reasonable to call that a solved problem. Modulo the discovery of new planets/redefinition of existing ones, which clearly has the potential to spring more surprises on us yet.

Alchemy evolved into modern chemistry, I don't know if you can draw a line somewhere and say "Alchemy ended here". There's a mystical side of self-improvement and meditation, which spun off away from the field of science entirely (although you could maybe trace it into parts of modern pharmacology), but in so far as it was ever about "science", I suspect it's still going.