One obvious tree is an olive tree, others would be the various nuts, like hazel, almond etc. The yields per hectare from these are pittifully low iirc.

I get 300 kilos of olives - so approx 50 litres of oil - from 3 olive trees, each taking up maybe 6m diameter. There are varieties for the UK climate, but IIRC they're much smaller trees, but at the very least you'd expect 50 litres from 8 of them.

I don't beileve it's viable to grow hazels/almonds for oil. The effort that goes into growing them as a cash crop is very high.

Of course, the economics of making the oil from olives on an energy basis are fairly dubious. If you calculate the energy required to pulp, then press to 450bar for 4 hours, then run the juice through a centrifuge, I suspect the EROEI is lousy. Rapeseed requires higher temperatures, much higher pressure, and solvents. The input prices are higher, so the processing costs are higher.