The Black Catling Gun 5.0

Black Cat can attack with no consequential damage, so this deck focuses on setting her up to open fire.

Use Suit-Up to search for Black Cat and Sidearm and play those together as soon as possible. The other copy of Suit-Up can help you search for Inspired to also attach to Black Cat. With both equipped, she does at least 3 damage per shot while taking no consequential damage from herself or any Retaliate.

Black Panther is also helpful for searching for a Suit-Up to help make sure you can find Black Cat and her upgrades, or banking a Get Ready if she is already equipped. Call for Backup is another backup way of summoning someone straight into play if those others aren't working out.

In testing I am dependably able to get Black Cat out there armed. From that point forward, you have plenty of Get Ready and Command Team cards to repeatedly ready her and keep her shooting multiple times per turn. You also have R&D Facility to buff Black Cat for especially big turns.

As for Spider-Man, he can focus on using his versatile kit to deal with everything else in the game. He has solid defense, Enhanced Spider-Sense can sidestep the worst encounters without even having to draw the next one, and Backflip can dodge the biggest hits. All the while Black Cat can take care of doing all the damage for you because her repeated shots help to break off Toughness or anything else that needs multiple attacks. All other included allies are decent thwarters, like Moon Girl and especially Falcon.

5.0 Edit: I replaced Helicarrier with Avengers Mansion. Avengers Mansion may cost 1 more, but is so much more dependably useful, well beyond the extra cost. I also replaced Push Ahead with an extra copy of Multitalented. I was rarely able to keep Spider-Man ready to be exhausted for Push Ahead, and Multitalented is helpful because there are a lot of options to cover specific costs, especially with the 2 Web-Shooters.