As a wargamer and therefore someone with an armchair interest in WWII, I'm with Putin on the effectiveness of the T-34. It was not perfect in every area (arguably, no major WWII tank was) but it was the most advanced tank in the world at the time of its introduction and, thanks to developments made during the war, the T-34 variants being produced towards the end of the war (T-34/76

,E and F and the T-34/85) were a match for any US, UK or German tank being produced in 1944-45.
To quote a couple of the senior German officers who had to face the T-34 on the field of battle:
"We had nothing comparable [to the T-34]" - Maj. Gen. Mellenthin, XLVIII Panzer Corps.
"The finest tank in the world" - Field Marshal Paul Ludwig Ewald von Kleist, Commander, German Army Group A, Eastern Front.
Indeed the T-34 is such a fine design that it was still in production until the 1960s, and hundreds of T-34s were still in service all over the world as recently as 10 years ago, with a few surviving in second-line military use to this very day.
I also recently read a wonderful story which demonstrates the remarkable durability of the T-34. (You'll enjoy this, Putin) - here's the story:
In the year 2000, the members of an Estonian history club raised a 1943-model T-34 from the bottom of a lake near the Estonian town of Johvi. Their investigations found that the tank had been captured by the Germans sometime in mid-1944 during heavy fighting in the area. Later in 1944 the Germans were forced to retreat from Estonia and during the retreat this tank ran out of fuel. To prevent it being recaptured and used again by the Soviet forces, the Germans dumped the unfortunate T-34 into the lake, where it would remain, fully submerged under the water for the next 56 years.
The tank would still be lying there today had not a local man, who had been a small boy at the time of the war, happened to remark to the chairman of the history group that he remembered, in 1944, seeing tank tracks dissapearing into the lake, and theorising that a tank must have ended up there.
The history group sent divers into the lake, who successfully located the tank. With the help of a powerful bulldozer they were able - with some difficulty - to shift the tank from its resting place of 56 years and drag it out of the lake. Once it was on dry land they were able to properly inspect the condition it was in for the first time.
To say they were impressed by how well it had lasted would be a huge understatement.
There were no signs of oil leakage, virtually no rust, nor any other significant water damage to the mechanical components. The engine did not run after 56 years in the lake, but the group found it a relatively simple project to restore the engine to full working order.
Not bad after 56 years submerged in a lake!