Shalom u'Verachah, Isaac,

We don't (yet) have a recommended list of select Tosfosim on each Daf, but below is a list of Tosfosim on the first few Dapim that, in my view, are foundational for understanding the reasoning of the Sugya according to its approach. Of course, every Tosfos adds depth and sheds light on the Sugya from one angle or another. I hope that I have selected the Tosfos that will be most helpful for you.

2a DH Eshes Achiv me'Imo - what is Kares and what is Ariri

2a DH v'Achos Ishto - the rules of Nifterah Sha'ah Achas

2b DH O she'Nimtzeis Ailonis - different aspects of the status of an Ailonis

2b DH Bito Kivan d'Asya mi'Derashah Chavivah Lei - regarding the Peshat of the Sugya

3b DH Lefi she'Einan b'Tzaras Tzarah - why we do not find Tzaras Tzarah regarding a Bo'el

3b DH Lo Sa'aseh she'Yesh Bo Kares Mi Dachi - why we do not learn the rules of Aseh Docheh Lo Sa'aseh from Yibum

4a DH di'Chesiv Lo Silbash Sha'atnez v'Samich Lei Gedilim v'Chulei - The rules of Derashas Semuchim

4a DH v'Chi Mipnei she'Samchu Inyan Lo v'Chulei - Semuchim outside of Mishnah Torah

4b DH v'Amar Rachmana Avid Lehu Techeiles - why Techeiles on a linen garment must be Sha'atnez

4b DH d'Afilu Tzemer l'Pishtan u'Pishtan l'Tzemer - Lavan strings of wool in a linen garment

5a DH v'Achasi Itzterich Salka Daitach Amina Shani Kohanim v'Chulei - different aspects regarding Aseh Docheh Lo Sa'aseh (Shaveh ba'Kol and more)

5b DH Gedilim Arba'ah - the source that we double over all the strings

5b DH Ad she'Yehei Shu'a Tavuy v'Nuz - why is Tzizis Kil'ayim

5b DH Kulah mi'Sha'atnez Nafka - other sources to learn that Aseh Docheh Lo Sa'aseh

6a DH she'Chen Hechsher Mitzvah - Sevara of Hechsher Mitzvah

6b DH Taima d'Chasav Rachmana Lo Seva'aru Ha Lav Hachi Dachi - regarding Mekalkel b'Meleches Shabbos

7b DH v'Ra'ah Keri Bo b'Yom v'Taval - who is forbidden in Machaneh Levi

7b DH Zeh Nichnas - why Sha'arei Nikanor were not made Kodesh like the Azarah

8b DH Melamed she'Megarshah b'Get u'Machazirah - why we do not need a verse to permit a second Bi'ah

9a DH v'Harei Isur Mitzvah v'Isur Kedushah d'Pligi Rebbi Akiva v'Rabanan - question on Rebbi Akiva's opinion

Kol Tov and much Hatzlachah!

Aharon Steiner