Rune	Name	Letter	Phonetic Value
	Fehu "fay-who"	F	f as in "fire"
	Uruz "ooo-rooze"	U	oo as in "booze" (might be pronounced: oo as in "book")
	Thurisaz "thoor-ee-saws"	TH	unvoiced th as in "thorn" (never th as in "the")
	Ansuz "awn-sooze	A	a as in "awning", "call" or "law"
	Raidho "rye-though	R	r as in "ride"
	Kenaz "kane-awze	K or C	k as in "kick", or hard c as in "cane".
	Gebo "gay-boe" or "yee-boe"	G	hard g as in "gift" , y as in "yes", or silent
	Wunjo "woon-yo"	W or V	w as in "warm", with lips close together, almost like a "v".
	Hagalaz "haw-gaw-laws"	H	h as in "hail", aspirate "h" as in modern English
	Nauthiz "now-these"	N	n as in "need"
	Isa "ee-saw"	I	ee as in "sleep"
	Jera "yare-awe"	J or Y	y as in "year" or j as in "jaw".
	Eihwaz "eye-wawz"	EI	i as in "pride", possibly short i as in "pick"
	Perthro "perth-row"	P	p as in "poem"
	Algiz "all-yeese" or Elhaz "ale-hawz"	Z or -R	z or final R
	Sowilo "soe-wee-low"	S	s as in "sun"
	Tiwaz "tea-wawz"	T	t as in "Tuesday"
	Berkano "bear-kawn-oh"	B	b as in "birch"
	Ehwaz "ay-wawz" or Ehwo "ay-woh"	E	a as in "day"
	Mannaz "mawn-nawz"	M	m as in "mankind"
	Laguz "law-gooze"	L	l as in "life"
	Ingwaz "eeeng-wawz"	NG	nasal sound as ng in "singer"
	Dagaz "thaw-gauze"	D	voiced th as in "the" (never unvoiced th as in "thick") or d as in "dog"
	Othala "oath-awe-law"	O	o as in "oath"

Since the Algiz symbol can represent a final rolling -R rather than a Z, one might substitute that sound wherever a Z appears above.

There are as many different pronunciations of the Elder Futhark rune sounds as there are runic authors. Since the names are modern re-creations of what is referred to as "proto-Indo-European", which no longer exists (or perhaps never existed), your guess is as good as the next person's.

The Woden's Harrow website contains Real Audio sound files of the Elder Futhark.