Here are some problems list in low dimensional topology (with an emphasis on knot concordance and knotted surfaces):
Problem list from the 2022 BIRS workshop "Topology in dimension 4.5"; see also here.
Problem list from the 2019 BIRS workshop on "Unifying 4-Dimensional Knot Theory".
Problem list from the 2016 conference "4-manifolds and knot concordance" at MPIM.
Problem list from the 2016 BIRS workshop on "Synchronizing smooth and topological 4-manifolds".
Problem list from Section 10 of Livingston's 2003 paper "A survey of classical knot concordance".
Kirby's 1977 problem list: "Problems in low dimensional topology" (1995 edition).
Fathi Ben Aribi, Léo Bénard, Maciej Borodzik, Alberto Cavallo, Carlo Collari, David Cimasoni, Diarmuid Crowley, Solenn Estier, Stefan Friedl, Gerrit Herrmann, Min Hoon Kim, Matthias Nagel, Patrick Orson, Lisa Piccirillo, Wojciech Politarczyk, Mark Powell, Joerg Sixt, Enrico Toffoli, Kleopatra Zacharova