This can be seen at the end of the movie when they are making their last stand on the bridge. Supposedly 2 panzers, and 2 tiger tanks were rumbling into town. This may require some knowledge of WWII tanks, but if you look at the tiger tanks, the top of the tank looks fine, but the botton of the tank (i.e. the treads and suspension) is a Russian T-34 tank. I guess they couldn't find a working Tiger tank for the movie and had to build one from spare parts. That's pretty glaring for an otherwise good movie.
Even more glaring is the fact that the 1st SS Panzer Korps hadn't arrived yet, the 12th SS Panzer Division was NOT operating in the American sector, 503rd Heavy Tank Battalion and II SS Panzer Korps wouldn't be in Normandy until July, and the only SS unit fighting the US Paratroops was 17th SS PGD which had assault guns for armor. THERE WERE NO TIGER I TANKS IN NORMANDY at the time the U.S. forces were fighting in the movie Saving Private Ryan. The 17th SS with its SGIV ended up attacking Northeast against Caretan on June 13. It is somewhat immaterial that the Tiger tanks used in the movie weren't 'actual Tigers'.