Nice. The first "original projected Manchester" from the drawings above was the Avro 679 in its initial form, what Avro submitted to the P.13/36 specification. This evolved into what became the Manchester and there were significant changes made before the design eventually settled on.
The "Manchester alternative armament" was utilising Boulton Paul multi-gun power turrets armed with 20 mm cannon that didn't come to fruition. These turrets were added to several companies' paper projects to pre-war specifications as they offered a promising means of adopting power turrets, which were added to every bomber specification at the time. BP even projected a turret fighter with one of these heavy turrets fitted to it, flying a scale prototype to test the idea. The turrets were never developed because of the expediencies of wartime needs.
The Hercules engined variation appears to be a twin engined variation on the four engined Hercules Manchester proposed the same year.
The Centaurus engined variant was a later date, most likely a 1940 iteration because of the extended vertical fin design as fitted to the Lancaster. This was originally fitted to the Manchester Mk.III, the Lancaster prototype, which, being a converted Manchester off the production line had the smaller endplate fins and the wooden central fin, because of instability. Once the large endplate fins were designed, these were retro-fitted to production line Manchester Mk.Is to create the Manchester Mk.Ia variant. Note also the Nash & Thompson FN.7 top turret, which also helps date this drawing. It was most definitely an in-house proposal rather than a ministry sanctioned idea as the MAP rejected the notion that the Manchester should be further developed.
Lastly, the four engined Manchester Mk.III became the Lancaster, as we know. A drawing probably dating from 1940 as well.