Balatro

First of all, it's absolutely best to go for this achievement on the Abandoned Deck, which has no face cards. It starts with only 40 cards instead of the normal 52, meaning you'll need to destroy only 20 to get the achievement. The Abandoned Deck can be unlocked by winning a run with the Green Deck.

Here are some of the ways you can remove cards from your deck

1. Hieroglyph voucher - This will give you more time to remove cards from your deck before the blinds become too big. It also takes away a hand, but I still think it's worth getting if you see it. I did use this voucher on my attempt.
2. Trading Card joker - This joker will let you remove a card from your deck on every round. It's mostly useful if you get it early on. For a while I was resetting my run after not getting this joker in the 1st ante. Eventually I gave up doing that and was able to get the achievement without Trading Card.
3. Immolate spectral card - This will let you destroy 5 cards in your deck. Always buy spectral packs to try to get this. I got it twice on my successful run.
4. Hanged Man tarot card - This lets you destroy 2 cards. Buy a lot of arcane packs to try to get this. It can be coupled with the Fool tarot card to get it multiple times. I ended up using this card 4 times.
5. Justice tarot card - While not quite as effective as the Hanged Man, this will give you 1 glass card, which has a 1/4 chance of breaking when you use it. Also it was helpful for getting enough score to beat the blinds. I broke 2 glass cards on my successful attempt.

Some other notes:

Try to not skip blinds. You want to see as many shops as possible to buy arcane packs (or have as many rounds with trading card as you can.) I only skipped blinds for mega arcane packs and spectral packs.

Be careful not to run out of cards. It can happen pretty easily with a deck this small. However, having a small deck makes predicting what cards you'll get next much easier. Make sure to look at what's left in your deck when you're choosing what to discard.

I got this achievement when a glass card broke on the Boss Blind for the 7th Ante (after taking the hieroglyph joker earlier on). The jokers I used were Ride the Bus, Raised Fist, Ceremonial Dagger, and Ramen.

I bought so many arcane packs trying to get Hanged Man that I was able to make my entire deck one suit lol. After that it became pretty easy to just play flushes.

Good luck!! :)