str(b'text') returns double quoted item with b prefix within the str() object as so: "b'text'" in python interpreter. It seems the "b" shouldn't be within the outter quotes or apart of the str() instance data.

Is this a bug or new syntax? I personally haven't see any documentation that this is the correct behavior. Nor did I find any previously register issue tickets.

>>>bchars_list = [b'o', b'n', b'e']
>>>bchars_list
[b'o', b'n', b'e']
>>>[str(x) for x in bchars_list]
["b'o'", "b'n'", "b'e'"]

This is as expected.  In Python 3, b'text' represents a bytes object.  "Passing a bytes object to str() without the encoding or errors arguments falls under the first case of returning the informal string representation".
Also, in the case of simple bytes objects, their str() representation is the same as their repr() representation.  For many simple types, the repr() representation of an object allows you to recover the object by using eval().

>>> b'one'
b'one'
>>> type(b'one')
<class 'bytes'>
>>> str(b'one')
"b'one'"
>>> repr(b'one')
"b'one'"
>>> eval(repr(b'one'))
b'one'
>>> b'one'.decode('ascii')
'one'

https://docs.python.org/3/library/stdtypes.html#str
https://docs.python.org/3/library/functions.html#repr

Python 2 (as of 2.6) accepts b'text' literals to make writing code compatible with both Py2 and Py3 easier.  However, Py2 treats b'text' the same as 'text'.

>>> b'one'
'one'
>>> type(b'one')
<type 'str'>
>>> str(b'one')
'one'
>>> b'one'.decode('ascii')
u'one'

https://docs.python.org/2/whatsnew/2.6.html#pep-3112-byte-literals