Yanille: Talk to Bert, 1st Building inside Gate (from Home TP), Beside House Portal, for 82 sands in bank (Can Right click: Sand)
Karamja: Talk to Dell Monte for 40 Free noted Pineapple. North from Home TP). Stands at south door, first building you see (Can Right click: Claim).
Catherby: Talk to Arhein to purchase 80 Pineapple and 80 Seaweed (Can't right click, must Talk). South of Bank on Dock (General Store icon)
Weekly: (Resets 0 UTC, Wednesday)
Tears of Guthix, weekly (Enter Lumby basement, straight south - BRING LIGHT SOURCE) - XP in lowest level skill. Check timer on quest journal (Tears of Guthix) - Need to do 1 qp or 100k total xp between times - Resets Weds 0:00 UTC
Thieving Guilds, get 60 hanky points for Thieving XP, weekly (Bring about 50 coins to buy 1 lockpick (does not break), bottom chests are 4 points each (req lockpick for door), top rows, 1 point each (no lockpick) - Saturday
* Check Miscellania workers (Fairy: CIP or Fremenik Home TP, due West to last dock on left) - Depends on if you have money in coffers to pay the workers. See Managing Miscellania. Currently set 10 workers herbs, 5 Coal mining (can get bonus gems)
* Check Anachronia workers -- Do Agility near bridge.
* View other types of activities, performed only every so often on wiki