General Relativity's limits are always discussed with respect to quantum physics but GR has limits outside black holes.
PSR B1913+16
PSR B1534 +12
PSR B2127+11C
PSR J1756-2251
PSR J0737-3039A
PSR J1518+4904
B2303+46
V541 Cygni
DI Herculies
AS Camelopardalis
General Relativity does not describe the motion of the last 7 and there is nothing on the first 3. They mainly talk about Gravitational Waves but when GR was developed they talked about precession.