Lunar Diplomacy
The Smithing Quest
A lot of quest give you exp lamps. You can also check the reward of the quest before you start it.
400 exp.
There is a quest called "The Digsite" .It gives you at least 15,000 exp. Its an intermediate kind of quest and its a lot of fun http://runescape.wikia.com/wiki/The_Dig_Site
75 exp each.
920 each
there actually is no best attack xp quest for runescape but you could try some members ones
In RuneScape, I assume. Cast any spell; that will give you magic experience. There is no easy shortcut, if that's what you mean; you'll just have to cast lots of spells. One way to do this is through magic combat.
See related links. At the end of the same page you'll find additional quest rewards, in which you have at least some choice, to which skill you want to apply the rewards. However, please note that getting quest rewards can never be your main method to get (in this case) magic experience, because of the relatively small amounts of experience received.
Pyres can be used in a mini-game for prayer and fire exp also if burned gives more exp than the original log of it's type.
Try Imp Catcher. Its the simplest one.
These following quests will give you fishing exp. Free-player quests. None Member quests. The Fishing Contest: 2437exp. Land of the Goblins:3000exp. Rum Deal:7000exp. Sea Slug:7175exp. Swan Song:10000exp. Tai Bwo Wannai Trio:5000exp. The Fremennik Trials:2812exp. Check out Sal's Realm of Runescape for Quest Guides.