I needed something that converts all major unicode characters and the voted answer leaved a few out so I've created a version of CodeIgniter's convert_accented_characters($str) into C# that is easily customisable:
using System;
using System.Text;
using System.Collections.Generic;
public static class Strings
{
    static Dictionary<string, string> foreign_characters = new Dictionary<string, string>
    {
        { "äæǽ", "ae" },
        { "öœ", "oe" },
        { "ü", "ue" },
        { "Ä", "Ae" },
        { "Ü", "Ue" },
        { "Ö", "Oe" },
        { "ÀÁÂÃÄÅǺĀĂĄǍΑΆẢẠẦẪẨẬẰẮẴẲẶА", "A" },
        { "àáâãåǻāăąǎªαάảạầấẫẩậằắẵẳặа", "a" },
        { "Б", "B" },
        { "б", "b" },
        { "ÇĆĈĊČ", "C" },
        { "çćĉċč", "c" },
        { "Д", "D" },
        { "д", "d" },
        { "ÐĎĐΔ", "Dj" },
        { "ðďđδ", "dj" },
        { "ÈÉÊËĒĔĖĘĚΕΈẼẺẸỀẾỄỂỆЕЭ", "E" },
        { "èéêëēĕėęěέεẽẻẹềếễểệеэ", "e" },
        { "Ф", "F" },
        { "ф", "f" },
        { "ĜĞĠĢΓГҐ", "G" },
        { "ĝğġģγгґ", "g" },
        { "ĤĦ", "H" },
        { "ĥħ", "h" },
        { "ÌÍÎÏĨĪĬǏĮİΗΉΊΙΪỈỊИЫ", "I" },
        { "ìíîïĩīĭǐįıηήίιϊỉịиыї", "i" },
        { "Ĵ", "J" },
        { "ĵ", "j" },
        { "ĶΚК", "K" },
        { "ķκк", "k" },
        { "ĹĻĽĿŁΛЛ", "L" },
        { "ĺļľŀłλл", "l" },
        { "М", "M" },
        { "м", "m" },
        { "ÑŃŅŇΝН", "N" },
        { "ñńņňʼnνн", "n" },
        { "ÒÓÔÕŌŎǑŐƠØǾΟΌΩΏỎỌỒỐỖỔỘỜỚỠỞỢО", "O" },
        { "òóôõōŏǒőơøǿºοόωώỏọồốỗổộờớỡởợо", "o" },
        { "П", "P" },
        { "п", "p" },
        { "ŔŖŘΡР", "R" },
        { "ŕŗřρр", "r" },
        { "ŚŜŞȘŠΣС", "S" },
        { "śŝşșšſσςс", "s" },
        { "ȚŢŤŦτТ", "T" },
        { "țţťŧт", "t" },
        { "ÙÚÛŨŪŬŮŰŲƯǓǕǗǙǛŨỦỤỪỨỮỬỰУ", "U" },
        { "ùúûũūŭůűųưǔǖǘǚǜυύϋủụừứữửựу", "u" },
        { "ÝŸŶΥΎΫỲỸỶỴЙ", "Y" },
        { "ýÿŷỳỹỷỵй", "y" },
        { "В", "V" },
        { "в", "v" },
        { "Ŵ", "W" },
        { "ŵ", "w" },
        { "ŹŻŽΖЗ", "Z" },
        { "źżžζз", "z" },
        { "ÆǼ", "AE" },
        { "ß", "ss" },
        { "IJ", "IJ" },
        { "ij", "ij" },
        { "Œ", "OE" },
        { "ƒ", "f" },
        { "ξ", "ks" },
        { "π", "p" },
        { "β", "v" },
        { "μ", "m" },
        { "ψ", "ps" },
        { "Ё", "Yo" },
        { "ё", "yo" },
        { "Є", "Ye" },
        { "є", "ye" },
        { "Ї", "Yi" },
        { "Ж", "Zh" },
        { "ж", "zh" },
        { "Х", "Kh" },
        { "х", "kh" },
        { "Ц", "Ts" },
        { "ц", "ts" },
        { "Ч", "Ch" },
        { "ч", "ch" },
        { "Ш", "Sh" },
        { "ш", "sh" },
        { "Щ", "Shch" },
        { "щ", "shch" },
        { "ЪъЬь", "" },
        { "Ю", "Yu" },
        { "ю", "yu" },
        { "Я", "Ya" },
        { "я", "ya" },
    };
    public static char RemoveDiacritics(this char c){
        foreach(KeyValuePair<string, string> entry in foreign_characters)
        {
            if(entry.Key.IndexOf (c) != -1)
            {
                return entry.Value[0];
            }
        }
        return c;
    }
    public static string RemoveDiacritics(this string s) 
    {
        //StringBuilder sb = new StringBuilder ();
        string text = "";
        foreach (char c in s)
        {
            int len = text.Length;
            foreach(KeyValuePair<string, string> entry in foreign_characters)
            {
                if(entry.Key.IndexOf (c) != -1)
                {
                    text += entry.Value;
                    break;
                }
            }
            if (len == text.Length) {
                text += c;  
            }
        }
        return text;
    }
}
Usage
// for strings
"crème brûlée".RemoveDiacritics (); // creme brulee
// for chars
"Ã"[0].RemoveDiacritics (); // A