Here is a more complete list, swipted from TORHEAD, it was in a comment and didn't want it to disappear.
Welcome to the EMPIRE Guide to Daily Commendations!
At the moment I have found 17 daily quests that rewards Daily Commendations.
Out of those 17 quests, there are 11 on Belsavis, in which 2 are H4 quests, and 1 H2+, and 6 on Ilum, in which 1 are H2+.
NOTE: You might need to do some of the regular quests on Ilum, and the Bonus Series on Belsavis to get access to all these quests.
Belsavis:
When you arrive at Belsavis, take the Taxi to Imperial Domination Outpost.
- Corporal Haddon gives you the quest: (HC4) Lights Out which rewards 3 Daily Commendations, aswell as an Orange quality weapon for one of your companions, or a Item box.
- Lord Shaar gives you the quest: (HC4) Old Enemies which rewards 3 Daily Commendations, aswell as an Armoring Item.
- N4-71 gives you the quest: Invisible Threat which rewards 1 Daily Commendation.
- Major Charkron gives you the quest: Unintended Consequenses which rewards 1 Daily Commendation.
Then go south, and enter the South Rakata Teleporter, and move to Deep Launh Point Teleporter.
- Darth Synar gives you the quest: Reluctant Volunteers which rewards 1 Daily Commendation.
- AR-72 gives you the quest: Ancient Transmissions which rewards 1 Daily Commendation.
- Specialist Nattis gives you the quest: Found in Translation which rewards 1 Daily Commendation.
After that, head north to Signal Monitoring Station.
- Lord Atren gives you the quest (HC2+)Freeing the Fallen which rewards 3 Daily Commendations, aswell as a Mod.
- Galko gives you the quest The Carriers of Xenovirus Prime which rewards 1 Daily Commendation. NOTE: Galko is giving you this thru a holocron, that you access by activation the right Monitoring Station in the first room upstairs.
- SD-9 gives you the quest Droid Malfunction which rewards 1 Daily Commendation.
- While doing the quest Droid Malfunction, stop in the tunnel, and activate the Monitoring Station there, and AR-72 gives you the quest Deadly Mutations which rewards 1 Daily Commendation.
Illum
When you arrive at Ilum, go inside then to the left.
- Lord Tetsu gives you the quest: A Tightened Grip which rewards 1 Daily Commendation.
- G-4T gives you the quest: (H2) Poisonous Strategy which rewards 3 Daily Commendations, aswell as an Enhancement.
- Operative Che'nash gives you the quest: Operation Shatterstorm which rewards 1 Daily Commendation.
- Major Dermian gives you the quest: Defend the Shipment which rewards 1 Daily Commendation.
Take the Taxi to Imperial Waystation.
- Captain Barstead gives you the quest: Rightful Owner which rewards 1 Daily Commendation.
- Colonel Baramak gives you the quest: Sabotage which rewards 1 Daily Commendation.
You can now get a maximum of 25 Daily Commendations each day from Daily quests.
I will update whenever i find any more quests that gives Daily Commendations.
