This is actually called a "Rachel". I worked at a deli for years and a Reuben is made with corn beef, a Rachel with pastrami. But this is the traditional way to make it!  -  22 Nov 2002  (Review from Allrecipes USA and Canada)

i've avoided reubens for one main reason -- sauerkraut. we thought we'd try this recipe out, despite my reservations! this sandwich is really good and extremely quick. i tasted the sauerkraut first, alone, and it was horrible -- but, all the ingredients are together for a reason, and make a tasty combination. try this recipe, even if you're a little afraid! we'll be making this one again.  -  15 Aug 2002  (Review from Allrecipes USA and Canada)

I had all the ingredients ready when my husband got home from work and let him make these since he is the griddle & grill master--he did an amazing job, and the sandwiches were excellent. He heats the sauerkraut and meat separately on the griddle, then piles both on the bread, tops with the cheese, and grills the whole thing. Used Sauerkraut Rye bread, from this website.  -  30 Apr 2007  (Review from Allrecipes USA and Canada)