Dawid Daniuszewski's record against Rubinstein in serious games:

Double Round Robin tournament in Lodz, August 24 to September 23 in 1906 (Rubinstein won): Rubinstein - Daniuszewski 1.5-0.5

Double Round Robin tournament (might be the Chess Club Campionship) in Lodz, 1907 (Rubinstein won): Rubinstein - Daniuszewski 1-1 (1 win each)
D Daniuszewski vs Rubinstein, 1907

Fifth All-Russian Championship in Lodz, December 16 to January 15 in 1908 (Rubinstein won): Rubinstein - Daniuszewski 1-0
http://www.chessgames.com/perl/ches...

Unknown event in Lodz, 1908 (Donaldson/Minev know of no tournament taking place in Lodz at that time (end of 1908) but think that the following game is from a serious contest): Rubinstein - Daniuszewski 0-1
D Daniuszewski vs Rubinstein, 1908

According to Daniuszewski there were some tournaments in Lodz in 1916 and 1917 with an eight-player double round robin tournament held from December 1916 to January 1917 (only known participants apart from Rubinstein were Gottesdiener and Regedzinski) and won by Rubinstein +11 =3 -0, so he might have faced Daniuszewski there also.

So if we disregard the 1916/17 event and count the obscure game from 1908 their personal score is Rubinstein - Daniuszewski 3.5-2.5

I don't know if they faced each other in serious games after 1920 but the database suggests they did and gives this game Rubinstein vs D Daniuszewski, 1927 1-0

The letter (Courtesy of Zygmunt Lokuciewski) contains descriptions to several positions given below and also an annotated game played in the Lodz Ghetto, 1944.02.09 (I will submit it to the database).

Tomasz asked a friend if the games should be published and he got this reply:

<My own view is that such historical matters in chess are invaluable. [...] I think the games and the story surrounding them are a very important matter. The struggle to preserve culture, to continue with the matters of the mind that make us truly human, and not mere animals, in the face of the Nazi beast strikes me as true courage. Just the act of writing down the scores suggests an effort to preserve something valuable in the face of such utter horror and destruction that is ennobling, in itself. I, for one, would be proud to play over the game scores, if you care to share them. I think they would make a valuable human interest story. [...] You may be holding in your hands one of the last cultural artifacts ever to emerge from among that suffering group of humanity. The recording of those games was an act of affirmation of life, of what makes life good and beautiful, in my estimation. Sure, the games themselves might not be great chess, but that is not the point. They are candles lighting the darkness, if only for a moment, if only in a small way - and as such, I believe, entitled to more consideration than merely the merits of the play itself.>

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Possibly a study by E. Post from 1939:

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1.Nc7 Bh1 2.Kg1! B any 3.f6+ K any 4.e6 and wins

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Daniuszewski - J. Gelenstern
1941.09.14

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1...f4? 2.Re6! fxg3? 3.Rxg6+ Kh8 4.Rh6+ Kg7 5.Rh7# 1-0

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Lundin — Richter,K (1941, 'Neue Illustrierte Zeitung')

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Black to move

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Leepin — Mross

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1...Nxe3!