good, hard, powerful
killer (BrE,figurative), knockout
Aluko landed a knockout punch.
This policy will deliver a knockout punch to the tourism industry (figurative)

sucker (= an unexpected punch)
He was knocked flat by a sucker punch.

one-two (AmE,usually figurative)
the devastating one-two punch of Hurricanes Katrina and Rita

emotional (figurative)
The film packs a heavy emotional punch.

deliver, give sb, land, pack (usually figurative), swing, throw
She gave him a punch on the nose.
The X37 engine packs a powerful punch.
He can throw a powerful punch.

pull
He pulled his punches to avoid hurting his sparring partner.
She pulls no punches (= she says exactly what she thinks). (figurative)

get, take
Be careful what you say or you'll get a punch on the nose.
a boxer who knows how to take a punch

punch in
a punch in the stomach

punch on
She gave him a punch on the nose.

punch to
a punch to the jaw

hard
lightly
playfully
She playfully punched him on the arm.

repeatedly

in
His attacker had punched him hard in the face.

on
She punched him on the nose.

kick and punch, punch and kick
He was repeatedly kicked and punched as he lay on the ground.

Punch is used with these nouns as the object:
air, button, buzzer, fist, hole, key, pillow, stomach, ticket