There is Moss Giant Island home to 5 Moss Giants to the north-west, it is a great place to train your combat seeing as the items they drop could be worth the trip out.
The only place one can find Strange Plants is in Brimhaven, located to the north-west.
Summoning Obelisk to the north-west, a very short trip to train your summoning skill level quickly.
The Black Arm Gang's second hideout can be accessed in the middle of the city during and after Heroes Quest. The hideout contains some Pirate guards and a small treasury with some coins and the 2 candlesticks needed to continue the quest.
Brimhaven has a ship ride that will take the player to Ardougne for the low price of 30gp. This ship is located in the northern part of Brimhaven. Wearing a Ring of Charos(a) will allow you to travel to and from Brimhaven for free.
The Charter ships also dock in the Brimhaven Harbor. They provide rides to several other locations, for a fee.
If the Holy Grail and A Fairy Tale Part II quests are completed, there is a fairy ring -- code B•J•R—that leads to the Fisher Realm. Use the Magic whistle to exit the Fisher Realm and end up on the northwestern peninsula near the gold mine and Brimhaven. (There are two respawn points for the whistle at the northwest corner of the Fisher Realm, near the ring.)