Spencer, you've come to the right place:
The Elektra is in an entirely different class than the Bricoletta and Andreja Premium, which are impressive machines in their own right. The attention to fit and finish, capacity (6L boiler, 2000W heating element), and size are examples of what distinguishes it.
But as you'll read in my writeup, the A3 isn't for everyone. First of all, it is
big. And generates a lot of heat. None of the three machines you mention are the type that just "blends in" to the background of your average kitchen. They all call attention to themselves -- yet Elektra really cries out for a dedicated espresso bar. Many machines have come and gone from our kitchen and the A3 is the only one so far that has managed to tempt me to replace La Valentina. But the size is the deal breaker (well, I should say for my wife it's the deal breaker; I'd happily "deal" with it

).
PS: I see that you posted the same question on CoffeeGeek (
link). In general, we discourage cross-posting, whether the sites are HB, CG, alt.coffee, TMC, etc. because there is an overlap in memberships. I recommend that you pick the site that best fits your question, or the one you frequent most often. Thanks!