David Sherwood does (1-0, straight sets 2004, making him the only Brit to have beaten Tsonga without also being on the receivingend at some stage) and so does Andy - 2-1 or 3-1 if you count juniors - L 2008 AO, W 2007 ATP, W 2004 Challenger, W 2003 Juniors.
Also, Del and Flan are 1-1 with him and so is Boggo if you count juniors and don't count a W/O loss.
I've just found a quick way to extract results v Brits from the ITF database (not directly, but it's still quick), so here are Tsonga's results v Brits at senior level in reverse date order. N.B. "ATP" may mean a slam or ATP qualifying, etc.
2008 ATP Hard W Andy MURRAY (GBR) 7-5 6-4 0-6 7-6(5) 2007 ATP Hard L Andy MURRAY (GBR) 3-6 3-6 2007 ATP Hard W Tim HENMAN (GBR) 7-6(2) 2-6 7-5 6-4 2007 ATP Grass W Joshua GOODALL (GBR) 6-1 3-6 6-3 2007 ATP Grass W Tom RUSHBY (GBR) 6-1 6-1 2007 Cha Grass W Jim MAY (GBR) 6-3 6-4 2007 Cha Hard W Jamie BAKER (GBR) 6-3 6-2 2006 Cha Carpet W Richard BLOOMFIELD (GBR) 4-6 6-3 6-3 2006 Cha Hard W Arvind PARMAR (GBR) 6-3 6-1 2006 Fut Hard W Neil BAMFORD (GBR) 6-2 6-3 2006 Fut Hard W Richard BLOOMFIELD (GBR) 6-4 6-3 2006 Fut Hard W Lee CHILDS (GBR) 6-1 6-2 2004 Cha Hard W Jamie DELGADO (GBR) 5-7 6-1 6-2 2004 Cha Grass W Jonathan MARRAY (GBR) 6-2 6-1 2004 Cha Grass W Andy MURRAY (GBR) 7-6(5) 6-2 2004 Cha Grass W Mark HILTON (GBR) 7-5 6-3 2004 Cha Grass W Alex BOGDANOVIC (GBR) 6-3 6-4 2004 Cha Grass W Ian FLANAGAN (GBR) 6-3 6-4 2004 Cha Grass W Richard BLOOMFIELD (GBR) 6-0 6-3 2004 ATP Grass W Richard WIRE (GBR) 6-4 7-6(6) 2004 Cha Grass W Nick CAVADAY (GBR) 6-4 7-5 2004 Cha Grass L Ian FLANAGAN (GBR) 5-7 6-2 4-6 2004 Cha Hard L David SHERWOOD (GBR) 4-6 3-6 2003 Cha Hard W Thomas WILLIAMS (GBR) 6-1 6-1 2003 Cha Hard W Chris LEWIS (GBR) 6-4 6-4 2003 Fut Hard L Jamie DELGADO (GBR) 2-6 6-3 6-7(6) 2003 Fut Hard O Alex BOGDANOVIC (GBR) W/O 2002 Fut Clay W Alan MACKIN (GBR) 2-6 6-2 6-0
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GB on a shirt, Davis Cup still gleaming, 79 years of hurt, never stopped us dreaming ... 29/11/2015 that dream came true!