This could either be seen as a broken U or an L‐shaped kitchen with an island. Technically I'd say it leans towards the latter but if you imagine that door on the left being cabinetry you can use this layout for inspiration for your own U‐shaped kitchen.
Eat‐in area. Your idea of an eat‐in kitchen may be a table that seats a party of eight. You may be overlooking the fact that you have room for a cafe table a small counter or even a flip‐down bar top.
If you're limited on space and storage in your L‐shaped kitchen adding a pot rack frees up space in a base cabinet. In its grandest expression the L‐shaped kitchen has a large island main sink on one wall range on the other and prep sink in the island. This creates at least two overlapping work triangles allowing for multiple cooks to work at the same time. Guest seating at the island creates a "kitchen as theater" feel. Even in some smaller spaces you can fit a L‐shaped kitchen small island and prep sink. No seating at this island but I'm sure having that extra sink more than makes up for it in the cook's eyes!