Savage Worlds:
Assign a D4 to your Attributes and Skills. Increase the number of sides to the die as you get better.
Roll the die that the GM says applies. Roll a D6 because you're a "Hero". If either of the die roll their max, roll it again and add.
Take the highest total value rolled and see if you beat a 4. If you did, you succeded. Then see if you beat it by an additional 4, if you did there may be a bonus effect.
Four is the usual target value however, the target value can be higher for melee. The GM may also add or subtract a few points to the target value or the roll total based on conditions.


Savage Worlds in a Nutshell
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HeroQuest

All rolls are opposed rolls (contests) made on d20. In principle, any ability on the chr sheet can be used in a contest. In practice this is governed by narrative considerations (eg is it a fight or a debate?). Also in principle, any ability can be used to augment the primary ability (add one-tenth of the augmenting ability). An individual roll can come up as a critical, a success, a failure or a fumble. Compare the rolls on a table to determine the result, which ranges from a complete success to a complete failure (other results are major, minor and marginal for both success and failure).

Numerically, abilities default to 6 and range upwards potentially to infinity. Each twenty points in an ability gives you a mastery, which bumps your raw die roll to the next level (eg from a success to a critical).

Dangerous Journeys

Percentile roll under, with range set by skill and stat and (possibly) modified by circumstances. Skills linked to trait. Starting vocation gives a list of skills initially available, plus a short list of common skills, and the character has additional skills, the number depending on his traits. Investigate mysteries, seek out treasure, flummox bad guys, run a business. That's your life in Dangerous Journeys.