OMG. Who in the world said they couldn't afford new appliances? People on this board read a lot into posts just to make their own holier-than-thou responses.
If you think people don't read a lot into offers to buy their house - you're fooling yourself. How you present yourself as a seller can be important, and you never know when it will be.
You know i saw an interesting article just today in the wall street journal. The gist of it was that it isn't really a buyers market. It's an investors market. That being said just offer a lower amount for the house with no further explanation needed.
Since I just sold my house in a week (with multiple potential buyers), I agree. It may be a a buyer's market in some locations, but not everywhere. There are good deals for investors, but that's because investors come with no drama. And a lower offer that is otherwise good is much easier for a seller to agree to than a higher offer with more conditions.
And this is why you should go ahead and negotiate for the appliances to be replaced with what you want.
You can have the amount added into your mortgage assuming your appraisal can accept it and move in worry free. I would go slightly higher than Rusty - dishwashers can be $500, refrigerators range according to size, but nice stoves are now more expensive than $600 - the choices at Lowes and HD and Sears have gone up considerably more than some other appliances.
As a seller, if I had two offers (and I'm just going to make up numbers here), one for $102,500 where I was expected to buy and install $2,500 of appliances before closing, and one for $98,000, that took the house as-is; I'd take the lower offer. If I had two offers, one for $102,500 with a $2500 allowance for the buyer to buy new appliances, and one for $98,000 with no contingencies, I'd take the lower offer.
For the former, putting in $2500 of appliances and then having the sale fall through means you will never recoup the cost of those appliances. For the latter, I particularly don't want the risk of what might be tacked onto the offer after the inspection report comes in. "Oh, if they want $2500 in new appliances, are they going to want a new hot water heater, too? What about a new furnace? A new a/c unit?" All of that stuff is probably original, and the kitchen appliances are cheap compared to what that list could become.
Reasonable or not, regardless of the actual state of your finances - paying for appliances over more than their lifespan (rolling them into a 30 year mortgage, when you think that 17 year-old, functional appliances are too old) implies a buyer who can barely make ends meet. And that's a buyer who is at higher risk for their mortgage falling through and being unable to get a new one. They're also at higher risk for adding on other demands as they realize just how expensive moving into a new house really is.
That's not to say you can't be successful asking for new appliances, or an appliance allowance, or an allowance for new window coverings, or a request that the house be painted in lime-green mickey heads. If you don't want the house unless it comes with new appliances already installed - then make the offer that way. If a lower price is just as good for you, then the fewer conditions you can put on the sale, the more likely it is to go smoothly.