The Eye of Judgment
The Eye of Judgment is a video game and the only reason Chris apologised to the Game Place. According to Wikipedia the cards are $3.99 per booster pack, meaning taht if Chris is ever allowed access to the Game Place again, one can assume this is where most of his monthly tugboat will be sailing.
Tournament
In his March 18th video, Chris mentions he'll be playing in The Eye of Judgment: The Dioskuri Tournament, in which he hopes to attain a spot in the top 100 in order to win 3 promo cards. Considering he is most probably still banned from the Game Place (which is the only place he can buy the cards from), he is very likely to just have the cards that the game came with, thus limiting his performance in the tournament. We can assume from past competitions that Chris expects to win this, and if he doesn't place in the top 100 he will complain about how he was wronged and deserves to have won the cards.
Custom cards
In Holding Out For a Hero, Chris apparently took the "sweethearts just love it when you confess your love to them by talking about your hobbies" route, and showed his amazing custom Eye of Judgment cards. We now know that when Chris enters epic high fantasy dimensions, thorough the lands, there are some who call him... "Christian C." Given that the cards work by being scanned by a special reader, it's unknown how he expects these things to work--unless he's printed new names and descriptions over patterns for existing cards, as he did with Animal Crossing cards. Or they don't work, and he pretends they do. Which is more hilarious? You choose.
Regrettably, the Ivy saga ended before high-quality scans of these cards materialized. (Or, they're withheld for further lulz. Who knows.)