<a class="name" href="#" onclick="changeSubscription('ID'); return false;">NAME</a>

<a class="name" href="#" onclick="changeSubscription('ID'); return false;">NAME</a>

<a class="name" href="#" onclick="changeSubscription('3zVjD6rnLfPh0oLbFfpx97-QollErvePEDvtxgUplWg'); return false;">hamburgerhaenger‬‏</a>

// <a class="name".*changeSubscription\('(?<ID>.*?)'\).*?>(?<NAME>.*?)</a>
// 
// Optionen: RegexOptions.IgnoreCase | RegexOptions.Singleline
// 
// Match the characters "<a class="name"" literally «<a class="name"»
// Match any single character that is not a line break character «.*»
//    Between zero and unlimited times, as many times as possible, giving back as needed (greedy) «*»
// Match the characters "changeSubscription" literally «changeSubscription»
// Match the character "(" literally «\(»
// Match the character "'" literally «'»
// Match the regular expression below and capture its match into backreference with name "ID" «(?<ID>.*?)»
//    Match any single character that is not a line break character «.*?»
//       Between zero and unlimited times, as few times as possible, expanding as needed (lazy) «*?»
// Match the character "'" literally «'»
// Match the character ")" literally «\)»
// Match any single character that is not a line break character «.*?»
//    Between zero and unlimited times, as few times as possible, expanding as needed (lazy) «*?»
// Match the character ">" literally «>»
// Match the regular expression below and capture its match into backreference with name "NAME" «(?<NAME>.*?)»
//    Match any single character that is not a line break character «.*?»
//       Between zero and unlimited times, as few times as possible, expanding as needed (lazy) «*?»
// Match the characters "</a>" literally «</a>»

// <a class="name".*changeSubscription\('(.*?)'\).*?>(.*?)</a>

string sourceString = ...; //inhalt aus http://ideone.com/VHAIP
Regex RegexObj = new Regex("<a class=\"name\".*changeSubscription\('(?<ID>.*?)'\).*?>(?<NAME>.*?)</a>",
  RegexOptions.IgnoreCase);
MatchCollection myMatchCollection = RegexObj.Match(sourceString);
foreach(Match myMatch in myMatchCollection){
  Console.WriteLine("id=" + myMatch["ID"].Value);
  Console.WriteLine("name=" + myMatch["NAME"].Value);
}