Some Problems on the Classical N-Body Problem compiled by Albouy, Cabral, Santos
Some Open Problems in geometric control and subRiemannian geometry compiled by Agrachev.
Numerical Semigroups Problem List compiled by Delgado, Garcia-Sanchez, and Rosales
My book with Cambridge (to appear 2025?) describes Four Open Questions in the N-body Problem.
Is Entropy Effectively Computable? Milnor.
for ambitious generalists:
all over math
In physics (dominated by QFT and high energy)