Dishwashers don't take a cabinet - they are meant to fit into a 60 (or 45) cm space between cabinets with the counter on top - so any model that is meant to be integrated is compatible with Ikea cabinets. Likewise for the fridge, integrated refrigerators are meant to fit inside a cabinet that is 562 mm wide minimum, which is the case for Ikea, and a rather standard height for these integrated refrigerators (including those made by Ikea/Whirlpool) is for a 178 cm tall niche. The 211 cm cabinet minus feet is 195 cm tall, making the inside just over 191 cm tall - perfect for a 178 cm tall integrated fridge.
The only appliance in the Ikea range that is oddly-sized is the line of small microwaves meant to be integrated into a wall cabinet - they are 35 cm tall which meshes well with a 35 cm tall door above to make up the height of a 70 cm cabinet - and this is the only nonstandard size.
My Ikea in France was recently running an unadvertised promotion for 20% off appliances if you bought 2 or more, so you may want to find out if anything similar is on in the
UK
.
I ended up buying the microwave and the dishwasher from Ikea, but the oven, cooktop, hood, and refrigerator from other places.
Happy shopping.