Unlimited experience
If you use the "Easy gold" glitch and amass a fortune in gold, you can basically get unlimited experience. When you save the life of the Arl of Redcliffe, a soldier of his will appear in your party's camp. There will be a box for donating to the army. Enter the screen, and the first option is to donate 30 gold. You can do this as many times as desired and gain a good amount of experience from each donation. If you just keep pressing A then X repeatedly, you will be quickly donating large sums of gold, skipping through the dialog screens, and earning a lot of experience. If you run low on gold, repeat the "Easy gold" glitch again at the merchant in your camp. Note: Be careful with this. Enemies will also level as you do. If you get too high of a level and do not have the correct equipment, you can be quickly defeated.
Note: This only works in the unpatched version of the game. In Ostargar, there is a mission called "Tainted Blood" that takes place immediately before you become a Grey Warden. Collect the three Vials of Darkspawn Blood but not the Grey Warden Treaties. Return to camp, talk to Duncan, and report "We have the blood, but not the scrolls." This will exit out of the conversation, but will give you the experience for the mission. Repeat those steps until you are at the desired level. It takes very little time to reach the maximum of level 25 skip the conversations and speed up the process.
In Lothering, immediately run to the right upon exiting Dane's Refuge. There will be a quest giver by the name of Allison. She will ask you to make traps for her. She requires three traps for the quest. Upon completion, you will receive a moderate amount of experience and 50 Silvers. Take advantage of this, because the quest is repeatable and will no longer be exploitable as you progress in the game. To do this, go back into Dane's Refuge and purchase Trap Triggers. He has an unlimited supply of them. Assuming you have Trap Making, create Spring Traps. Spring Traps only cost approximately 3 Silvers to create, and she requires three traps per turn in. Therefore it only costs you roughly 9 Silver for the quest. She will reward you with 41 Silvers profit per turn in, not to mention the experience that comes along with it. Note: Take advantage of this exploit because Lothering will be unavailable to you as your progress in the game.