Some datapoints:
AA Visa: Offered $95 statement credit & 1k miles for 1k spending for 16 cycles
Hilton Reserve: 2 offers to choose from: 750 HH points for $750 in spending for 16 cycles, OR 5k HH points for spending $1k in 3 months. No statement credits offered but keep in mind you still get the annual free night certificate with this card as well.