1. Eating meat on the same table as one who is eating milk or vice versa:[1]

It is Rabbinically forbidden to eat meat on the same table as one who is eating milk products.[2] This applies even towards Rabbinical meats, such as poultry and wild animal meat.[3] The same applies vice versa, that one may not eat milk products on a table which one is eating meat, poultry, or wild animal meat.[4] This law contains two exceptions as will be explained in Halacha 2!

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[1] Michaber 88:1; Beis Hillel in Mishneh Chulin 104b

[2] The reason: The reason for the above restriction is because one may come to eat the opposite food which is on the table and thus transgress the prohibition of eating meat and milk. [Michaber ibid]

[3] The reason: Although poultry and wild animal meat is only Rabbinically forbidden, they may nevertheless not be eaten on the same table as cheese due to a Rabbinical decree that one may come to eat them with cheese. Now, although eating meat and milk which have not been cooked together is itself only Rabbinically forbidden, nevertheless the Sages made a decree upon a decree in this case. [Taz 88:1; See P”M 88 M”Z 1; To note that regarding eating chicken on a table with milk is a triple Derabanan and thus is in itself a decree [chicken] upon a decree [not cooked] upon a decree [same table].] The Levush explains that the reason this is not considered a decree upon a decree is because it was included in the original decree being that if one eats chicken and milk on the same table it is very common that the mixture will occur. Thus, this decree is considered like one decree. [Levush brought in Kaf Hachaim 88:6]

Other opinions in Talmud: Beis Shamaiy in Chulin ibid rules that chicken and cheese may be eaten on the same table.

[4] Shach 88:1; Kneses Hagedola 88:1; Lechem Hapanim 88:1; Beis Lechem Yehuda 88:1; P”M 88 S.D. 1; Birkeiy Yosef 88 Shiyurei Bracha 1; Beis Yitzchak 88:1; Zivcheiy Tzedek 88:1; Kaf Hachaim 88:1

[5] P”M 88 N”Z 2; Birkeiy Yosef in Shiyurei Bracha 88:8; Kanfei Yona; Teshuvah Meahavah 88; Aruch Hashulchan 88:11; Zivcheiy Tzedek 88:18; Darkei Teshuvah 88:18; Kaf Hachaim 88:21

Other opinions: Some Poskim rule it is forbidden for one who is within 6 hours of eating meat to sit on the same table as one who is eating dairy. [Beis Yaakov 12, brought and negated in Birkeiy Yosef ibid]