Heres a showing of caps strategy. Cap doesnt just use his shield as a missle to inflict damage, cap can use his shield as a barrier in order to get his target into a position he wants.
1. While being tied up Cap uses his feet to aim at laser gun through prison like bars.
2. Cap uses his strength and the weight of the monster to break the prison.
3. The laser weakens the monster slightly, but cap uses his strength to get free.
Cap doesnt just know how to use his fists and his shield he knows how to use other weapons as well. This is cap using weapons skills against the Red Skull. The Red Skull is a martial arts expert....at this moment in time he is powered by the cosmic cube. Cap loses the fight in the end but the fact that cap can get a few shots in shows you how good cap is.
Captain America kicking the shit out of another top tier, notice that the shield was IN the beasts mouth - he did the damage with a kick, not a shield throw:
Cap has some okay-ish feats in the latest civil war.
Seven people try to dog pile him to the ground, and Cap doesn't fall, he even says "Let me go, I don't want to hurt you."
He also obliterates Tony's armor with some shield bashes. Note that the armor nonfunctional, but it was still made out of the same incredible durable extremis material, and Cap shreds it.