Stem Cell Research Enhancement Act of 2005 - Amends the Public Health Service Act to require the Secretary of Health and Human Services to conduct and support research that utilizes human embryonic stem cells, regardless of the date on which the stem cells were derived from a human embryo, provided such embryos: (1) have been donated from in vitro fertilization clinics; (2) were created for the purposes of fertility treatment; (3) were in excess of the needs of the individuals seeking such treatment and would never be implanted in a woman and would otherwise be discarded (as determined in consultation with the individuals seeking fertility treatment); and (4) were donated by such individuals with written informed consent and without any financial or other inducements. Requires the Secretary to: (1) issue final guidelines to carry out this Act within 60 days; and (2) submit annual reports on activities and research conducted under this Act.