Superman's Supacomic #1 and the various Supacomic series

Superman's Supacomic #1 was published c.September 1958:

I am not certain of the cover artist however some of the figures do look to me like the work of Hart Amos, and the design is similar to one of the Amos cover tropes for anthologies.

The contents:

The Rainbow Superman, originally published in Superman's Girl Friend, Lois Lane #3, July-August 1958

The Bombshell of the Boulevards, originally published in Superman's Girl Friend, Lois Lane #1, March-April 1958

See The Wonders of Marine Life With this Underwater Telescope!, originally published in Superboy #21, August-September 1952

Clark Kent's Super-Dad, originally published in Adventure Comics #236, May 1957

The World Is Our Classroom, originally published in...?

Superman's Secret Sweetheart, originally published in Superman's Girl Friend, Lois Lane #2, May-June 1958

Lois Lane In Hollywood, originally published in Superman's Girl Friend, Lois Lane #2, May-June 1958

The Crime of Bruce Wayne, originally published in Detective Comics #249, November 1957

Don't Give Fire A Place to Start, previously published in comics cover-dated July 1954 

The Super-Gorilla From Krypton, originally published in Action Comics #238, March 1958

Lois Lane, Super-Chef, originally published in Superman's Girl Friend, Lois Lane #1, March-April 1958

Make Yourself a Mask!, originally published in Superboy #24, February-March 1953

The Man Who Was Clark Kent's Double, originally published in Superman's Girl Friend, Lois Lane #3, July-August 1958

The World's "Heavy Weight" Champ, originally published in Superman's Pal, Jimmy Olsen #26, February 1958

[Begins "Chief Ugwa is here to smoke peace pipe with you!", originally published in Tomahawk #5, May-June 1951

The World is Our Classroom is a one-page PSA featuring Superman which likely appeared in various DC comics in 1957-58. TBA.

The first Superman series published by K.G. Murray was a monthly periodical which ran c.June 1947-October 1959. The format of this series was similar to other K.G. Murray series published during this period - thin pamphlet-sized editions printed in black and white, including a short stint of colour interiors.

The Australian Silver Age Experience was inaugurated by the publication of Century The 100-Page Comic Monthly #1 c.July 1956. Century Comic was a monthly series from inception, and other  similarly bumper-sized titles such as All Favourites Comic and Mighty Comic joined the fray. These two series were initially launched as Annuals in 1956 but became monthly or bi-monthly titles in 1958.

It is into this market that Superman's Supacomic was launched as a bumper sized 100-page quarterly series c.September 1958. The monthly Superman series was still in circulation as the primary Superman series, and Superman's Supacomic was a complementary premium product. 

The two Superman series ended in the final quarter of 1959. Superman's Supacomic #5 was published c.September 1959, and the monthly Superman series ended with Superman #147 c.October 1959. The possessive case was dropped from the series title with Superman Supacomic #6 which was published c.January 1960, and from thereon this became the primary monthly Superman title - indeed, it was likely regarded as the flagship title in the K.G. Murray stable. It was certainly the only eponymously titled monthly superhero series (the diminutive Superman Super Library digest-sized reprint series notwithstanding) from K.G. Murray in the 1960's until well into the 1970's.

So, whilst it is true that Superman Supacomic continued from where Superman's Supacomic left off in terms of series numbering and content, it is also evident that the two series had quite distinct roles and profiles in the Australian marketplace of the late 1950's.

Interestingly there was another Supacomic in this transitional period - Supacomic Summer Gift Book was a UK hardcover title published c.mid-1960. I assume this was licensed from K.G. Murray, and the cover certainly looks like it's drawn from the Murray anthology template.