Random Events (!) are different every time. Look for exclamation point (!) to right of shop and click on it.
Magic Tree Event-Click on a tree in the event tab (!) on your DH2 account. You gain points gradually based on your tree cutting skill. At the end of this event you get logs based on the amount of points you got.
Dirt Pile Event-Just like the Tree event except with a pile of dirt. But this event is based on your farming skill. At the end of this event you get seeds based on the amount of points you got.
Stardust Meteor event-Just like the others but you mine and the more you mine the more points you receive. More points rewards you with more star-dust.
Animal Event-You kill animals to get points. The reward for your points is bones.
Runite Meteor Event-You mine to get points. The reward is stone, promethium at level 41 mining, and runite level 71 mining.