Depends, what are you looking for in your classification.
I agree those are not perfect, and they don't cover everything.
If I was to make classification, I would take ... factors into account;
1. Form of government (that would also include how public administration is organised and what quantity)
2. Level of oppressiveness
3. Values
4. Economic policy
Some examples:
Modern Russia imho would be:
1. Moderately-authoritarian-statist, 2. Moderately oppressive 3. Conservative 4. Social-liberal
Modern China:
1. Authoritarian, 2. Politically oppressive, 3. Conservative 4. Classical liberal.
I put these two, to show that there are differences in Eastern Europe
The West in general:
1. Democratic-statist, 2. Mildly 3. Socialist 4. Centrist
Historical regimes:
PRC in Mao's times:
1. Totalitarian 2. Tyrannical 3. Incoherent 4. Communist
IIIrd Reich:
1. Totalitarian, populist 2. Tyrannical 3. Conservative 4. Socialist, war-economy
The Soviet Union
1. Totalitarian, 2.Tyrannical, 3. Conservative, 4. Communist