Goodman Games

The description of the thief says that it can use its action dice to make skill checks. So my question is, can a thief use his or her action dice to attempt multiple skill checks at once? Could he or she, say, sneak and then pick a pocket in combat, or sneak and backstab, or fire a ranged weapon and hide?

Yes. Along as each only takes an action, he can use both action dice for thief skills. All three of your examples are completely valid. Warriors can attack twice, wizards can cast twice, thieves can do sneaky stuff twice. I see no problem with that. Remember that a DCC character level is about equivalent to two in most other D&D iterations. By level 6. A pc is considered "supra normal". One in 50,000.