[Tex/LaTex] Fonts for PolyTonic Greek

Question

I am using XeLaTeX with the fontspec package for Polytonic Greek character support (Unicode solutions only, no hacks). The default font doesn't display most of the desired characters, but I like the default font for all of the Latin characters. What are some fonts that support the full range of Polytonic Greek characters (with diacritics) but also look similar to the default font? The only font I know of that supports all the characters is DejaVu Serif, which I don't like the look of at all.

I am also open to a solution that will automatically render Greek characters in an alternate font but let me use the standard font for all Latin characters. I'd be happy to do something like \greek{Βίβλος γενέσεως Ἰησοῦ Χριστοῦ υἱοῦ Δαυὶδ υἱοῦ Ἀβραάμ.} as well if that puts it into a different font that works (but please suggest fonts or help me find a list).

Answer 1

The following fonts are all in TeX Live 2013:

\documentclass{article}
\usepackage{fontspec}
\defaultfontfeatures{Ligatures=TeX}


\newcommand\test[1]{%
  #1\\{\fontspec{#1}Βίβλος γενέσεως Ἰησοῦ Χριστοῦ υἱοῦ Δαυὶδ υἱοῦ Ἀβραάμ.}
  \par\medskip}

\setlength{\parindent}{0pt}

\begin{document}

\test{CMU Serif}
\test{EB Garamond}
\test{GFS Artemisia}
\test{GFS Baskerville}
\test{GFS Bodoni}
\test{GFS Complutum}
\test{GFS Didot}
\test{GFS Olga}
\test{GFS Porson}
\test{GFS Solomos}
\test{Junicode}
\test{Linux Libertine O}
\test{Old Standard}
\end{document}