Supperhero said:1. Logan is recruited in Vietnam. I assumed it happened in 1969. He spent many years as a member of Team X. In 1973, He retired (Africa). 6 years later, as stated in the movie, he is then turned into weapon X.
2-There's evidence on-screen that X2 is placed in 2004. There's evidence on-screen TLS is placed in 2005 as well.
For no. 1, there are a few problems with those theories:
A) Logan wasn't in Africa in 1973. Days of Future Past showed us he was in New York during that year.
B)Gambit told Logan that noone has been to Three Mile Island nor would they dare to sneak around the island so that means the movie is set after the nuclear meltdown of 1979.
And
C) The presence of Old Xavier (Patrick Stewart) speaks volumes of the fact that Origins is set in the same timeline as the X3 flashback scene.
For no. 2, the timestamp on the Blackbird photo presented by Stryker says it was taken in 2002 so that tells us that both X1 and X2 are set in 2002, considering that Cyclops pointed out that 1 month had passed since the Liberty Island battle. You're right about X3 being set in 2005 since the timestamp on Beast's magazine says it was issued in October 2005.
Aside from a few goofs, the continuity of the X-films (excluding Deadpool) flow quite well if X-Men Origins: Wolverine is ignored. X-Men: First Class, The Wolverine, and X-Men: Days of Future Past already ignore the film. There's no sense in any of us trying to include it either.
None of those films ignored X-Men Origins: Wolverine at all. For starters:
- Wolverine's presence in First Class alone is an acknowledgement of Origins's existence since it coincides with the war montage that spans over 100 years.
- The atomic bomb scene in the Wolverine also coincides with the war montage since this was during World War 2.
- Kayla's voice can be heard in the Wolverine after he is taken down by ninjas.
-Some of the weapon X footage in Days of Future Past are from Origins.
-DOFP had Wolverine referenced the war montage when he said, "I've been through a lot of wars but never like this"
-DOFP showed a clip of Sabertooth breaking Wolverine's bone claws with his foot during the moment Xavier was reading Wolverine's mind.
And
-The woman laying in bed with Wolverine called him "Jimmy" which used to be his name in Origins before he lost his memories.
It's not that simple to ignore Origins when there are too many references of that film in the movies you've just listed and now, Wolverine's cameo and Cyclops's introduction scenes in Apocalypse have only assured that the events of X-Men Origins: Wolverine still happened, but in a different way now.