Here are the light novels releasing during the week of May 31st to June 6th, 2021.
Just one debut this week from Cross Infinite World.
May 31
Romance of the Imperial Capital Kotogami: A Tale of Living Alongside Spirits (ebook)
Amazon -- iBook -- Kobo -- Google Play -- Bookwalker
Released May 31, 2021 -- ASIN: B08XXW5D9M
June 1
In Another World With My Smartphone Volume 16 (paperback)(eBook released earlier)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781718350151
Girls Kingdom Volume 3 (ebook)
Amazon -- iBook -- Kobo -- Google Play -- Bookwalker
Released June 1, 2021 -- ASIN: B08XYKZN27
By the Grace of the Gods Volume 4 (paperback)(eBook released earlier)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781718353831
ROLL OVER AND DIE: I Will Fight for an Ordinary Life with My Love and Cursed Sword! Volume 3 (paperback)(eBook released earlier)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781648270888
Adachi and Shimamura  Volume 5 (paperback)(eBook released earlier)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781648272004
Overlord Volume 13 (hardcover, ebook)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781975311537
Strike the Blood Volume 18 (paperback/eBook)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781975332662
High School Prodigies Have It Easy Even in Another World! Volume 4 (paperback/eBook)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781975309787
The Surprise of Haruhi Suzumiya Volume 10 (paperback/eBook)
Amazon -- Barnes and Noble -- Book Depository -- Rightstuf – BAM! – Indigo
Releasing June 1, 2021 -- ISBN-13: 9781975324209
June 2
My Instant Death Ability is So Overpowered, No One in This Other World Stands a Chance Against Me! Volume 5 (ebook)
Amazon -- iBook -- Kobo -- Google Play -- Bookwalker
Released June 2, 2021 -- ASIN: B08ZYJ62TG
June 3
The Apothecary Diaries Volume 2 (ebook)
Amazon -- iBook -- Kobo -- Google Play -- Bookwalker
Released June 3, 2021 -- ASIN: B08XC3GWDK
I'm in Love with the Villainess Volume 3 (ebook)(Print releases July 6, 2021)
Amazon -- iBook -- Kobo -- Google Play -- Bookwalker
Released June 3, 2021 -- ASIN: B0925S3VX8