Bachelor of Philosophy
The B.Phil.'s earliest form is as a University of Oxford graduate degree, first awarded in 1682. Originally, Oxford named its pre-doctoral graduate degrees the Bachelor of Philosophy (B.Phil.) (a two-year degree, partly taught and partly by research) and the Bachelor of Letters (B.Litt.) (a two-year research degree). After complaints, especially from overseas students, that this naming convention often meant that graduate degrees were not being recognised as such, the University renamed them Master of Philosophy (M.Phil.) and Master of Letters (M.Litt.). However, the Philosophy Faculty (then a Sub-Faculty) argued that its B.Phil. degree had become so well known and respected in the philosophical world that it would be confusing to change the name. In philosophy, therefore, the degree continues to be called the B.Phil. Those who pass the degree are given the choice of taking a B.Phil. or an M.Phil.; few if any choose the latter. (Note that Oxford also offers a number of other graduate degrees labeled as baccalaureate degrees: the law faculty's BCL; and the music faculty's B.Mus)
Bachelor of Science
In Australia, the BSc is generally a three-four year degree. An honours year or a Master of Science (MSc) is required to progress on to the Doctor of Philosophy (PhD). 
In New Zealand, in some cases, the honours degree comprises an additional postgraduate qualification. In other cases, students with strong performance in their second or third year, are invited to extend their degree to an additional year, with a focus on research, granting access to doctoral programs. 
In South Africa, the BSc is taken over three years, while the postgraduate BSc (Hons) entails an additional year of study. Admission to the honours degree is on the basis of a sufficiently high average in the BSc major; an honours degree is required for MSc level study, and admission to a doctorate is via the MSc.