The following Canadian cards earn points that can be converted to Aer Lingus Aer Club Avios:

American Express Cobalt Card (C$1 = 1.2 to 6 Marriott Points = 0.4 to 2.5 Avios)
American Express Gold Rewards Card (C$1 = 1.2 to 2.4 Marriott Bonvoy Points = 0.4 to 0.8 Avios)
American Express Green Card (C$1 = 1.2 Marriott Bonvoy Points = 0.4 Avios)
Marriott Bonvoy™ American Express®* Card (C$1 = 0.67 to 2.08 Avios)
mbna Best Western Rewards Mastercard (C$1= 0.20 to 1 Avios)
The Platinum Card from American Express (C$1 = 1.2 to 3.6 Marriott Bonvoy Points = 0.4 to 1.5 Avios)

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