Doublewear is quite thick, so it depends what level of coverage you want really. Personally I have extremely oily, acne-prone skin (it gets oily less than an hour after I wash my face). Among the foundations I've tried, these are the ones I've found hold up well on oily skin:
- Bobbi Brown Natural Finish Longwear Foundation
- Makeup Forever Matt Velvet
- MAC Studio Fix Fluid
- Revlon Colorstay
- Clinique Superfit
My favourites are the Bobbi Brown (which has a nice, light natural coverage) and the MUFE.
You could also try a powder foundation if you want something really oil-absorbing, like MAC Studio Fix powder or Chanel Mat Lumiere (this comes in a liquid as well, though I've only tried the powder) - it absorbs oil but has a slight sheen to it so it doesn't look too 'flat'. Bobbi Brown also just released a new powder foundation.
Hope that helps!