From BiblePortal Wikipedia

Fausset's Bible Dictionary [1]

1.  Nehemiah 9:4;  Nehemiah 10:15.

2.  Nehemiah 11:15.

3. The alleged Jewish name of Nicodemus ( John 3:1).

Smith's Bible Dictionary [2]

Bun'ni. (My Understanding).

1. One of the Levites, in the time of Nehemiah.  Nehemiah 9:4.

2. Another Levite, but of an earlier date than Bunni, 1 .  Nehemiah 11:15.

Morrish Bible Dictionary [3]

1: A Levite who returned from exile.  Nehemiah 9:4 .

2. One who sealed the covenant.  Nehemiah 10:15 .

3. Ancestor of a family of Levites.  Nehemiah 11:15 .

Hastings' Dictionary of the Bible [4]

Bunni ,   Nehemiah 9:4;   Nehemiah 10:15;   Nehemiah 11:15 , but in each case perhaps the text is corrupt.

Holman Bible Dictionary [5]

 Nehemiah 9:4 Nehemiah 10:15 Nehemiah 11:15

International Standard Bible Encyclopedia [6]

bun´ı̄ ( בּנּי , bunnı̄ , בּוּני , būnı̄ , בּוּנּי , būnnı̄  ; compare Bani ):

(1) A L evite ( Nehemiah 9:4 ). The repetition of Bani's name in this passage is probably a scribal error. The Syriac version for the second "Bani" reads "Binnui"; but as, in  Nehemiah 10:9 and   Nehemiah 12:8 , Binnui's name comes, as here, between those of Jeshua and Kadmiel, we should substitute Binnui here for the first Bani. The Septuagint renders all three names as if the Hebrew in each case had been בּני , benē , "sons of," reducing the proper names in the verse to five. The names probably stand for chief Levitical houses rather than individuals.

(2) Another Levite, one of the overseers of the temple, father of Hashabiah, according to  Nehemiah 11:15; but, according to  1 Chronicles 9:14 , Hashabiah is "of the sons of Merari" The reading in Nehemiah is a corruption of the one in Ch.

Cyclopedia of Biblical, Theological and Ecclesiastical Literature [7]

the name of two Levites.

1. (Heb. בּוּנַּי , Bunni', either Considerate, or the same name as BINNUI; Sept. Βοννά .) The great-great-grandfather of one Shemaiah, which latter was appointed an overseer of the Temple after the captivity ( Nehemiah 11:15). B.C. long ante 536.

2. (Heb. בֻּנּי , Bunni', Built, Sept. translates Υἱός , Υἱοί .) One of those who pronounced the public prayer and thanksgiving, and sealed the covenant on the return from Babylon ( Nehemiah 9:4;  Nehemiah 10:15). B.C. 410.

3. Bunni is said to have been the Jewish name of Nicodemus (Lightfoot on  John 3:1; Ewald, Isr. Gesch. v. 233). (See Nicodemus).