There are products that do this, that you can buy. With the availability of these, I doubt you will find a company that does this. Try amazon.com or ebay (or google) to find one online, or check your local Best Buy or equivalent.
I know some Walgreen's does this. You take in the vhs and they send it out and I believe it takes about 6 weeks and cost about 25 dollars and they will put it on dvd. The Walgreen's I work at does it and you should try Walgreen's in your area to see if they might do it,