And in regards to the Pershing,

In the meantime, Combat Command "B" was meeting stubborn house-to-house fighting in clearing out ELSDORF. All streets were heavily defended by heavy log blocks and suicide bazooka teams, plus self-propelled anti-tank guns. During the afternoon, the Germans launched a counter-attack supported by four Tiger Tanks and two Mark IV's. Task Force "Lovelady", in excellent position at GIESENDORF to the south and east of ELSDORF, moved one of the new T26E3 (The General Pershing) tanks into position and, at a range of approximately one thousand yards, knocked out two Tigers and one Mark IV. When this counterattack was broken up, the enemy tanks withdrew to the east. ELSDORF was buttoned up by 1900, and Task Force "Hogan" was moving through the eastern portion of ELSDORF in an attack on ESCH."
G-3 Supplement - The Rhineland

There is also a claimed battle between a "Super" Pershing and a Tiger II. But IIRC there is some question as to if it really happened.

DUEL AT DESSAU
3AD's "Super Pershing" vs. Germany's "King Tiger"
WWII's two most powerful tanks meet in a historic encounter
Super Pershing vs. King Tiger - Dessau

This also In regards to a Pershing and a Panther,

On March 6, 1945, Sgt. Jim Bates, a First Army Signal Corps photographer attached to the 3AD, shot a now-famous 48 seconds of 16mm footage showing the destruction of a German Mark V Panther tank in the cathedral square of downtown Cologne. The Panther was struck by three 90mm rounds from an M-26 Pershing tank of E Co, 32nd Armored Regiment, 3AD. Minutes before this encounter, the Panther had destroyed a 3AD Sherman tank, killing three of its five crewmen.

Bates was positioned on the mezzanine of a bombed out office building about 100 yards from the Panther as events unfolded. Shot at the standard 24 frames per second with relatively grainy, b&w, 16mm film, the image quality was susceptible to any jarring, hand movement, or subject movement. As a result, a number of frames suffered from blurring or mis-aiming, which is understandable in a combat situation. Bates won a Bronze Star that day for his photography, based primarily on this remarkable movie sequence.

http://video.google.com/videoplay?docid=-396062011779252155

Still photo sequence

http://www.3ad.com/history/wwll/feature.pages/bates.index.htm

__________________
For the first time I have seen "History" at close quarters,and I know that its actual process is very different from what is presented to Posterity. - WWI General Max Hoffman.

I'm the "Confederate with a pipe"!! LOL