If you mean all red like several WWI German air service aircraft, there were a few in WWII.
There were some examples in the Red Airforce, YaK-3, La-7 and I believe a YaK-9. There was also a lend-lease Spitfire Mk.IX based out of Leningrad (27 Guards Air Defense), but that was just for the victory day celebration directly after the war...the others I mentioned were used in combat. The Red Airforce also had quite a few examples that employed large areas of red, like on the nose, wing surfaces and portions of the fuselage and tail.
Another aircraft that used a great deal of red in it's paint scheme, was the Fw190D used by JV44 as airfield defense during the unit's Me262 landing and take-offs. The entire underside of the aircraft was painted red with white stripes running lengthwise. This was to help identify the aircraft to AA gunners to avoid friendly fire.