Of course! Here's a few I came up with (or shamelessly copied from other games):
- High risk/high reward mechanic: being able to throw multiple dice at once, totalling the non-1's, but also a bigger chance to roll a 1 (or perhaps when failing allowing the computer to have several turns in a row). Might also give you a chance to catch up when you're far behind.
- Being able to use rolled points to buy upgrades, such as better dice (d8's, d10's, etc.) and multiple dice (see first point) to create a pool of dice, or critical chances (high roll's allow for an extra roll), or debuffs on opponent (such as cursed dice, where a 2 also is a fail).
- Passive bonuses that always provide buffs, similar to the joker system in Balatro. For example, 'Three's a crowd' where every rolled 3 actually counts as a 4 in scoring.