For me the high fat food are:
Cold pressed Virginia olive oil
Virgin coconut oil - saturated fat and better for cooking with as has a higher smoke point
Avacado
Nuts and seeds especially Macademia (most fat of any nut)
Cream, double (low carbs at just 1.6g per 100ml
Organic butter.
Oily fish, fresh or tinned.
Eggs, cheese, red meat (grass fed) all protein with fat.
Etc ....
Diagnosed 13/4/16: T2, no meds, HbA1c 53, FBG 12.6, Trigs 3.6, HDL .75, LDL 4.0, BP 169/95, 13st 8lbs, waist 34" (2012 - 17st 7lbs, w 42").
15/6/16: FBG AV 4.6, Trigs 1.5, HDL 2.0, LDL 3.0, BP 112/68, BPM 66, 11st 5lbs, waist 30", PWV 7.0. Lifelong migraines and hay fever gone.
Regime: 20g LCHF, run 1 mile daily, weekly fasting.