Mixed. Archers did great at Crecy, Poitiers, and Agincourt, not so much at Verneuil, Patay, Formigny, and Castillon.
Swiss pikemen, Italian crossbowmen, and German swordsmen could give them trouble. Better armor and artillery getting cheaper is what did them in.
FWIW, a mounted English archer was paid about 50% more than a skilled stone mason at the time. A sheaf of arrows was 4 days pay for a stone mason...