1. Olive oil - reduce UVB-induced skin tumors
A 2000 study suggests that topical application of virgin olive oil after UVB exposure can reduce UVB-related skin tumors. The thought is that the antioxidant power of the oil is responsible for this benefit. (Extra virgin olive oil is said to have a "potent antioxidant effect".)
PREVENTATIVE EFFECT OF OLIVE OIL AGAINST UV-INDUCED SKIN CANCER (2000)
PREVENTATIVE EFFECT OF OLIVE OIL AGAINST PHOTOCARCINOGENESIS (2000)
VIRGIN OLIVE OIL AS A SKIN PROTECTOR (2009)
2. Argan oil - combat hyperpigmentation
According to a 2013 study, argan oil may be effective against hyperpigmentation disorders (e.g., acne scarring, chicken pox scarring).
ARGAN OIL AGAINST HYPERPIGMENTATION (2013)
3. Avocado oil - increase collagen and heal wounds
A few studies have demonstrated that this oil can increase soluble collagen (when consumed) AND help to heal wounds better than petroleum jelly (when applied topically).
AVOCADO OIL ON SKIN COLLAGEN METABOLISM (1991)
EFFECT OF AVOCADO OIL ON WOUND HEALING (2013)
4. Grapeseed oil - reduce blackheads, whiteheads, and UV-induced hyperpigmentation
A 1998 study demonstrated lightening effects on UV-induced hyperpigmentation (i.e., a tan) after topical application of linoleic acid. Additionally this fatty acid has demonstrated a potential to effectively reduce the size of blackheads and whiteheads.
Since grapeseed oil contains a large amount of linoleic acid, it makes you wonder if it would have all of these effects. Maybe you can do your own personal experiment.
ABSTRACT ON LINOLEIC ACID LIGHTENS UV-INDUCE HYPERPIGMENTATION (1998)
LINOLEIC ACID STUDY - COMBAT ACNE (1998)
You can find many of these oils at From Nature with Love.