By aiming to go tiny or small, you will need to consider what matters in the kitchen. Start by focusing on layout, appliances, counters, storage and finishes. See some of the decisions and choices here.
The Galleys
Modern galley with wood cabinetry and stainless steel. Appliances include a fridge-freezer, range top, microwave and dishwasher. It lacks counter space and an oven. (Karen’s Cottage)
Sleek galley in a studio. Appliances include a standalone fridge-freezer to the right (unseen), range top and dishwasher. It has limited counter space and no oven. (Smart Space)
Custom, mission-style galley. Appliances include a range top and standalone fridge-freezer to the left (unseen). It lacks counter space, a dishwasher and an oven. (Ron Czecholinski)
The Little L Kitchens
Little L with nice butcher block counters and storage. Appliances include a range top and small fridge-freezer. It lacks an oven here (possible) and dishwasher. (Tumbleweed Linden)
Country Little L with custom wood slab counter and cabinets. Appliances include a marine stove top and small fridge under house. It doesn’t have an oven or dishwasher. (Little Yellow)
Hip Little L with a plywood and metal look. Appliances include a flip-up range top, oven and little fridge. It lacks a dishwasher. (Yestermorrow, Relax Shacks)
The Big Kitchens
True U-shaped kitchen with space galore. Appliances include a full gas range, oven, microwave and big fridge-freezer to the left (unseen). It doesn’t have a dishwasher. (Springs Cottage)
Two galley, dream kitchen. Appliances include a large gas range, oven, microwave and big fridge-freezer. With a little more space, there’s room for everything. (Poppy’s Place)
tinyhousejoy 
We’re building a modified Linden with the ‘Tiny L’. I struggle with the idea of an undercounter fridge/ freezer. I’d like the larger 3/4 size unit (about 9 cu ft). I can’t clearly envision how that fits in the ‘Tiny L’. . .
Are you placing the kitchen in the back? It seems possible to put the 3/4 unit next to the ‘L’ long end. Decide if you want to shorten the ‘L’ counter space or not.
Is it okay to see the fridge-freezer from great room? If not, then you might place temp screen or partition, build partial or full-height wall, even put shelves facing the great room.
P.S. Not ideal, but separate fridge and freezer units could provide more cubic inches. There are top-loaders from marine world, for variety.