Record Holder - Marouane Chamakh

This is off Wikipedia so I think there is an element of doubt to whether this really happened or not!

Marouane Chamakh is the only player to score in six consecutive Champions League games:
For Bordeaux in a 2-1 win against Olympiacos on 17 March 2010
For Bordeaux in a 1-3 loss against Lyon on 30 March 2010
For Bordeaux in a 1-0 win against Lyon on 7 April 2010
For Arsenal in a 6-0 win against Braga on 15 September 2010
For Arsenal in a 3-1 win against Partizan on 28 September 2010
For Arsenal in a 5-1 win against Shakhtar Donetsk on 19 October 2010

The things you can find on the internet.

P.S. Yes I was soo bored that I was trawling through CL statistics. Got to do something while waiting for the match to start. COYG