Well if we are going to get all grammar police about it...
'I' should be used when it is the subject of the sentence, that is the person doing the verb. 'Me' should be used for the object of the sentence either direct or indirect.
As examples...
Kharma and I are going to Riff Raff's to get 'rat-arsed' - I am the subject, I am going to the bar
Security threw Kharma and me out of Riff Raff's after the incident with the Barmaid and the cucumber - me as the object that was thrown out