Wow... well generally one of my pet peeves is misunderstanding irony but there is SO much going on here regarding that, I'm going to just not participate in that.
But in response to Alanis Morrisette being kind stupid for writing a song called "Ironic" when not a single thing in the song was ironic, I always found that amusing. However, since she wrote a song that was supposed to be about irony and the song ended up not being about irony at all, it ended up being ironic in that way. It's funny though that to this day she claims that was her intention. I don't quite believe that.
In regards to irony, I think Baldrick from Blackadder put it best when asked about it:
Blackadder : Baldrick, have you no idea what irony is?
Baldrick : Yeah! It's like goldy and bronzy, only it's made of iron.
(However here they were referring to the colloquial use of the word 'irony' in Britain which uses it as a synonym for sarcasm).