- private (rival excludable) products: agriculture, artifacts (esp. capital)
- monopolization of spatial resources (rival, often excludable): land, orbits, spectrum, rights-of-way
- spoiling/consumption of natural resources (i.e. rival non-excludable goods): atmosphere, water, carbon sinks, sunlight, wind, game, underground oil pools
- "intellectual property" (non-rival, largely non-excludable): copyright, patents, genetic info, blackmail, trademarks, "private" personal data
- alienability of one's body parts (e.g. organ sales)
- alienability of one's will (e.g. very-long-term contracts, indentured servitude)
Property is not the only area where the Nolan Chart is incomplete. Another candidate dimension is inclusiveness vs. exclusiveness (i.e. enfranchisement) according to attributes such as property ownership, religion, race, gender, citizenship, age, intelligence, sentience, sexual orientation, cryonic suspension, and computational substrate. Who gets enfranchised is a logically separate question from what rights franchisees should enjoy. In the context of statism, enfranchisement of non-citizens suggests support not only for for liberal immigration, foreign aid, and human rights abroad, but also for free trade and humanitarian interventionism (as opposed to isolationism or imperialism). Leftists are generally inclusivist, but they see fetal enfranchisement as an threat to women's enfranchisement, and often oppose even humanitarian interventionism.
An increasingly interesting possible dimension is futurephilia vs. futurephobia. Historically, rightists feared the future, while leftists and progressives believed history was on their side. Lately, leftists fear technological development even more than rightists.