Everyone knows how important the Nyaya Sutras are for Indian philosophy. Indeed, it is impossible to imagine a work of greater influence than this in the history of Indian thought. It is virtually the foundation on which the whole of Indian logic rested.
There are various translations of the Nyaya Sutras available but I am asking specifically for the four volumes published by Ganganath Jha. The reason is that they are perhaps the most comprehensive treatment on this extremely important system of Indian philosophy. They include the English translation of the Bhasya of Vatsyayana and the Vartika of Uddyotakara in full as well as relevant notes from Vacaspati Misra's Nyayavartika-tatparyatika, Udayana's Tatparyaparisuddhi and Raghutama's Bhasyacandra. These volumes were all originally published before to 1919 though they have been reprinted many times in recent years..
Alternatively, another very great treatment are the 5 volumes published by Mrinalkanti Gangopadhyaya which also include the English translation of not only the original Sutras but also the various commentaries on it.
Here are the full names of the books:
"Nyaya-Sutras of Gautama: With the Bhasya of Vatsyayana and the Vartika of Uddyotakara" by Ganganath Jha - 4 Volumes.
"Nyāya philosophy: literal translation of Gautama's Nyāya-sūtra & Vātsyāyana's Bhāṣya : along with a free and abridged translation of the Elucidation by Phaṇibhūṣaṇa Tarkavāgīśa" by Mrinalkanti Gangopadhyaya - 5 volumes.