Here is a list of the Appleton's Crewel Wool colors and their closest DMC match:
Appleton 642 Peacock Blue--I don't have a straight-across substitute for this color
Appleton 327 Dull Marine Blue DK--DMC 924 grey green very dark (Appleton's is less green)
Appleton 322 Dull Marine Blue Light--DMC 932 light antique blue
Appleton 155 Mid Blue--DMC 926 grey green med
Appleton 993 Black--DMC 310 black
Appleton 982 Putty Groundings--DMC 3032 med mocha brown
Appleton 313 Brown Olive--DMC 832 golden olive (Appleton's is more brown)
Appleton 226 Terra Cotta--DMC 355 terra cotta (Appleton's is slightly more pink)
Appleton 503 Scarlet--DMC 347 coral red
Appleton 206 Flame Red--DMC 21 ligh alizarin
Appleton 255 Grass Green--DMC 469 avocado green
Appleton 244 Olive Green--DMC 730 olive brown
Appleton 344 Mid Olive Green--DMC 3012 soft olive green
