Admitting Norwegians or Danes don't conquer England.
The first change would be a more importantly germanized England : most of purely feudal features were due to Normans. Even the Common Law was a solution in order to merge Anglo-Saxon and Norman customs and uses.
While feudal influence from continent is likely to have some consequences in England, it would be far less than OTL : maybe at the same extent than it was in Spain or (more close to *English exemple) Danmark.
Expect a more important presence of "free peasantry", clientelism and "magnates"
France without a Norman invasion of England could turn itself to other objectives, but would have first to deal with Normandy : the duchy (like Brittany and Flanders) managed to keep an important unity and being the most powerful neighbor of Capetians and able to threaten their positions.
I think royal victory would be pretty unavoidable, but if Angevins manage to gain as OTL Normandy and part of Brittany, they could be great opponents.
Finally, I think french king focus would be on Flanders rather than the south of their kingdom but they would be kind of forced to be interested on. See, the Plantagenet presence in Aquitaine was a great factor on the perpetuated link between Capetians and House of Toulouse by exemple : Raymond V allied himself with Philipp to counter Henri II campaign in his estates.
Furthermore, the permanence of a important duchy of Aquitaine (that represented more or less 1/5 of the kingdom, 1/4 if you count temporary conquests) could really be a challenge for Capetians, even if the extreme feudal fragmantation of the southern part of their kingdom would be a favorable point for them.
Back to England : royal power would be still dependent on great houses, and you could see maintained the struggle for power : England is still a young kingdom and traces of earlier disunity and localism are still really present. I would tend to be dubious about a quick expansion in Wales or Scotland, and in the best scenario for the english king, it would take them some time to impose their power.
Economically, I could see England being far more likely turned to North Sea rather than Channel for obvious reasons.