You are checking Parent
properties for null in your delegate. The same should work with lambda expressions too.
List<AnalysisObject> analysisObjects = analysisObjectRepository
.FindAll()
.Where(x =>
(x.ID == packageId) ||
(x.Parent != null &&
(x.Parent.ID == packageId ||
(x.Parent.Parent != null && x.Parent.Parent.ID == packageId)))
.ToList();