Timeline
The Timeline of Unforgotten Realms Live is currently being constructed.
Canon Confirmed Timeline
In The Many Gobos of Pat it was confirmed by observing a flatscreen TV that K4 was in a purply cave with blue crystals on the wall. K4 sat on top of a large lilly pad, completely nude except for his hair. He's getting his back rubbed by a giant monkey fish. K4 comments on how pleasurable it feels to have his back rubbed. This confirms that Roamin's Band of Thieves predates The Many Gobos of Pat
In Sunswords, Jakelad is seen working on the song "Fuck the Kobolds", this confirms that Sunswords predates The Jewel of the Dingo Isles and also more obviously Jakelad is alive, and since he dies in The Jewel of the Dingo Isles, Sunswords must be before it.
In Sunswords Phineas is yet to join Theta Squad and become a badass Cabalist. He is still in training and know no Cabalist skills. In Porc Hunters Phineas has become all of this and joined Theta Squad. This proves that Sunswords predates Porc Hunters. The time between the two campaigns is likely only a few months or years as Phineas is a prepubescent child in both and in Sunswords he has already been referred to as a young adult so I likely around 10 to 12 in human years.
Theories
Rob has stated that The Nuren Campaign and the Roamin's Band of Thieves might have happened around the same time, but did not say the order in which they have happened, though this is obviously not canon as there is no evidence from in stream.
Theory for Porc Hunter to be after Roamin's Band of Thieves
Theory 1
It is commonly believed that Porc Hunters happened after Roamin's Band of Thieves, due to the elf, Dave being present during both campaigns and stating about a "band of thieves connected to the prisoner Kobold" event happening to Gwyneth Sunsword's Sunblades. However the prisoner kobold was Chimera, not Philhipé nor was it stated that the thieves where gnomes and a dwarf. It should be noted that it was also said that the thieves were conected to the Kobold in the prison wagon (ie Chimera) however there is no evidence that Roamin's band of thieves ever met or had even heard of Chimera.
Theroies explaining how Ca'rel and Kinney Boots both having Lieutenant Surge
Theory 1
Kinney Boots stole from, or killed, Ca-Rell to obtain the enchanted mace, as such The Jewel of the Dingo Isles would be after Porc Hunters.
Theory 2
Kinney had the mace first and lost it either into The Drink or during an unsuccessful battle with the Whisper Snake of Emerald Lake. Both events are possible due to Kinney being unable to swim and being somewhat reckless (she throws her bottle of wine overboard whilst spitting on Jakelad). This would mean that Porc Hunters happened after The Jewel of the Dingo Isles.
Theory 3
Merci is actually Porco from Ca'rel's cave of porcs and that Porco after being named began to grow in pride. He educated himself and eventually betrayed Ca'rel, greedy for power and stole Lieutenant Surge. He left the cave and renamed himself Merci. He then went on to seek his fortune as a pirate captain. After Kinney joins the crew and Porco, now Merci, starts using an anchor as a weapon Merci gives Kinney Lieutenant Surge as a gift since they are dating (thought because Merci was in his cabin for 13 days and Kinney's coat was also in Merci's cabin). This would mean that The Jewel of the Dingo Isles occurs many years after Porc Hunters.
