...were the Zuse Z3 and the Atanasoff–Berry Computer, both created in 1941 and both digital.

Yoji,

I believe the Colossus was not Turing complete, hence it does not qualify as a general purpose electronic computer.

The ENIAC was the first machine to combine electronics, programmability, and Turing completeness so it is truly the first modern electronic computer.

it is better to read this
http://en.wikipedia.org/wiki/Atanasoff–Berry_Computer

Thank-You, yogi. At time Picnic Baskets where abrim with computing projects. All with componets bought from Telco Supplier somewhere in Chicago.

Strangely, those Parts Where NO Trial & Error Prototype. It was Pick From Catalog & Build, HEY_Lot Like Today.
Also I Doubt if Eniac can reach 100 Gb/s as hoped, Because Core would need Multiplier of Hundred. So Bill & I Are awaiting Eniacs Next MOVE.
MY NAMES NOT Dave, You rubbish Heap.
Thomas Drashek

You can find more detailed information about the world first digital computers in Wikipedia; 
http://en.wikipedia.org/wiki/Colossus_computer

The writer of this article seems to like to say that Eniac is the world's first digital computer. However, some may think that British Colossus is the first digital computer. 
It may depend on the definition of "digital computer." According to the information that I have found, it is said, "This was the world’s first practical electronic digital information processing machine - a forerunner of today’s computers."
The existence of "Colossus" was kept as a state secret, but the documents of "Colossus" was disclassified in 2000.

You can find the information about "Colossus" at http://www.bletchleypark.org.uk/content/machines.rhtm

Yoji

"A MEMBER of the team that designed the world's first digital computer"
No record of him in the UK so that would be the second or third digital computer.

Nevertheless a sad loss.