Tunca,
the schematic you are referring to is not the complete Neve 1081.
It is merely the front end and missing parts as phantom power and output circuit.
If you want something similar but more complete there is the 1290/1073 project:
http://www.groupdiy.com/index.php?topic=22828.0
As Tekay said are the transformers possible to get from Colin at Audiomaitenance
but its maybe not really a beginners project.
A simpler (but good) project is the API312/Access:
http://www.groupdiy.com/index.php?topic=43484.0
There you can use many different discreet opamps like the 2520...
Hop this helps.