Update: Today I tested previously not working network cards again with Zeroshell 3.0.0 that has new kernel 3.4.75.
SUN Microsystems 501-6738-10 Gigabit Gigaswift Ethernet:
I was able to get this Quad gigabit card to work!
It is reported as:
National Semiconductor Corporation DP83065 [Saturn] 10/100/1000 Ethernet Controller (rev 30)
Cisco PIX-VAC-PLUS 4-Port Fast Ethernet Card 74-3188-01-4FE-66:
Also working, now data is being transmitted!