I don't have screenshots Gergel, but I've found a number of pcs running avg, running alongside viruses and reporting to the user that all is fine. most of those viruses were trojans, which is quite interesting.
I have nothing personal against AVG, there are a number of other AV companies which aren't adequate to protect the user, though AVG had a whole article about their dark side, others didn't so far as i know.
regarding proof, I'll give you a test run by a lab doing those tests:
http://www.av-comparatives.org/wp-conte ... 509_en.pdf
Their antivirus misses a LOT of stuff on most tests run to test them.
This test was done September 2015