There are plausible ways for Genesis 1-5 to be a combination of figurative, cultural accommodation, and literal, including a literal Adam and Eve, without contradicting science.
Major Christian Approaches to Creation:

1. Young-earth Creation (YEC)
Promotes a literalistic biblical interpretation of Genesis with a six-day creation approximately 6,000 years ago.

• Theological Tradition: Fundamental (& a sizable portion of Evangelical), particular after the reformation and especially with the rise of fundamentalism in the 20th century.

• Genesis Interpretation: Literalistic and based on modern understanding of scripture. Believes that the author, hearers/readers would have understood in a similar way that we do.

• Science Compatibility: YEC denies a 14 billion year “old” earth & universe, and evolution. It is not accepted by at least 98% of mainstream scientists.[1]

• Leading person & group: Ken Ham www.AnswersinGenesis.org

• Video and More info: The Case for Youth-Earth Creation

2. Old-Earth Creation (OEC)
Accepts mainstream science on the age of the universe and the earth, but not on evolution.

• Theological Tradition: A sizable portion of Mainline Protestant denominations and a significant portion of Evangelicals. It arose in the late 20th century in reaction to extensive evidence of a much older earth and universe than YEC allowed for.

• Genesis Interpretation: Says Hebrew word, “yom” could be translated as “eras” instead of 24 hour days. Otherwise, generally accepts a literalistic interpretation of Genesis, except in the case of the flood believes the interpretation of Hebrew word “erets” probably referred to a regional flood.

• Science Compatibility: OEC accepts Big Bang, a 13.7 billion-year-old Universe, and 4.7 billion-year-old earth, but denies the mainstream scientific view (98% [1]) of evolution and also DNA evidence that there were at least 1,000 individuals in the initial group of modern humans instead of 2.

• Leading person & group: Dr. Hugh Ross: Reasons to Believe (www.Reasons.org)

• Video and More info: The Case for Old-Earth Creation

3. Evolutionary Creation (EC) (aka Theistic evolution - TE)
Accepts mainstream science on the age of the Universe & Earth but believes that God created humans through evolution. It does not have a designated view of Adam & Eve, but has various plausible scenarios.

• Theological Tradition: Unknown prior to Reformation. Since the beginning of 21st century, a sizable portion of Catholics, Mainline Protestant denominations, and small but growing numbers of Evangelicals.

• Genesis Interpretation: It views early Genesis stories as at least partially figurative. It does not espouse a single theory on Adam & Eve but has multiple scenarios (see link below).

• Science Compatibility: EC is compatible with mainstream science.

• Leading person and group: Dr. Francis Collins: www.BioLogos.org

• Video and More info: The Case for Evolutionary Creation.

4. Intelligent Design (ID)
A limited theory that believes in a designer without identifying the designer. Adherents of this view can be YEC, OEC, and occasionally EC or those who are non-committal on creation theories. Can believe in evolution, but has scientific-like arguments against non-miraculous evolution.

• Theological Tradition: Is not directly connected with the belief in a Christian God, although many adherents are Christian. It began in the late 20th century.

• Mainstream Science Compatibility: Because of controversial and scientifically refuted stands, ID has been rejected by the world largest scientific society, the American Association for the Advancement of Science.[3] However, since there are a variety of ID arguments, some may be very logical, but still hard to prove.

• Leading person and group: Michael Behe: Discovery Institute (www.discovery.org/id/)

• Video and More info: The Case for Intelligent Design.

For More Information:

Click on the items at the bottom of each page for detailed presentations of each view.

Christian Views on Adam & Eve - a table of 6 different views.

Wikipedia info on Evolution-Creation Controversy