Unlike knives, you don't have to spend "big money" on other bits and pieces, you just have to know what you are looking for.
Pot's, pans, baking trays, and stuff like that:
Large non-stick frying pan. About 12-14" in diameter and about 3" high. Get the heaviest based pan you can... at least a cm. Mine is an M+S one that I've had for years and I cook all my sauces in it apart from bolognese (which is huge and I have to use either a wok or a large pot). If you get one with a metal handle you can also use it in the oven and under the grill.
Set of stainless steel saucepans with heavy bases... again about a centimetre thick at the base. The diameters should range from about 7" to about 10".
If you can afford it... a La Crueset non-stick casserole pot. I don't have one but I wish I did. They are made of cast iron and you can use both in the oven and on the hob. Perfect for curries, goulash and casseroles! Larger the better with this one as long as it fits your oven.
Large non-stick wok. Not just for chinese food but for cooking large quantities of sauce like bolognese or chilli.
Griddle pan. We are not all blessed with a proper grill for steaks. Putting steaks under the home grill will not produce great results from my experience. Also handy for other stuff and leaves those lovely grill marks on whatever you are cooking. Health and safety be damned... turn the smoke alarm off while you're cooking and open the windows while using for a more peaceful cooking experience (but remember to turn the alarm on again afterwards).
Colander. My wife insisted on a "pretty" green one which is a pain in the arse to clean (day old rice is particularly painful to wash up). Get a non stick one or a stainless steel one. Bigger the better as long as it fit's your sink.
Sieve. Fine as you can get and worth buying a small one and a large one for different applications/containers. Get metal ones though, plastic sieves don't last long, they melt and discolour.
Pyrex dishes. Large round casserole with a lid and a long rectangular lasagne style dish.
Shallow, non-stick baking trays. As wide and long as your oven can fit.
Non-stick loaf tin for making bread. Just under the same size as ... erm... a loaf of bread.
Non stick cake tin with removable bottom. About 10" in diameter and 6" tall.
Fairy cake/muffin tray. Non stick is preferable and at least 6 cake bits.
Tongs. Absolute must! Small 8" pair and large 12" pair.
Wooden spoons. Try and get long ones as they'll keep you a nice distance from the pan.
Metal spoons. Slotted spoon, non-slotted spoon, ladle. At least a foot long.
Fish slice. No idea why it's called a fish slice as you absolutely do not slice fish with it. Slotted is probably preferable.
Speed peeler. Those daft ones that are vaguely knife shaped are pants with a capital P. Make sure it's nice and sharp. Oxo do one called a "Good Grip" and it's awesome. Handy for more than peeling duties...
Tin opener. Mine is a MagiCan and has lasted ages. Think I've bought 2 in ten years.
Garlic crusher. Save SOOO much time and effort. Chef's might sneer at this little gadget but they can sod off.
Egg timer. Not just for timing eggs oddly enough... you can sit back and relax during downtime and this handy gadget will remember for you.
Food processor. And not one with a celebrity chef's name on it. Magimix or another well know brand. Spend as much money as you can on it. Mine is RUBBISH!! A supermarket's own brand and has fallen apart within 6 months of owning it but we still use it... Hand blenders are useful too but have a really short lifespan from my experience.
Get a good thick sturdy wooden one for veg and fruit. I use what's called a butcher's block for my veg.
Plastic boards for meat and fish. Ugly but sensible. If you get one that's not white, they'll last longer before you have to throw it away because it looks repulsive. Has to be plastic for meat though folks... blood etc can seep into the pores of a wooden one.
I think that's the necessities... I'll put more on the list if it comes to me... You've probably got most of it already but I thought I'd list the bare essentials.