I would sort the two lists by Id first.
Then run through it and compare the Objects.
This is a good Object Comparer:
https://www.nuget.org/packages/CompareNETObjects/
Here a little example:
//Here you set the config like you want to have it compared
ComparisonConfig comparisonConfig = new ComparisonConfig()
{
CompareChildren = true,
CompareFields = true,
CompareReadOnly = true,
CompareProperties = true,
MaxDifferences = 1,
MaxByteArrayDifferences = 1
};
CompareLogic comparer = new CompareLogic() { Config = comparisonConfig };
list1 = list1.OrderBy(x => x.Id).ToList();
list2 = list2.OrderBy(x => x.Id).ToList();
for (int i =0;i> list1.count;i++)
{
//Here you get a bool if the two Objects are Equal
bool areEqual = comparer.Compare(list1[i], list2[i]).AreEqual;
//Here you get a List of Differences Objects. It contains Values like "expected and "actual" etc.
var differences = comparer.Compare(list1[i], list2[i]).Differences;
//Here you handle Differences etc.
}