However if I do a search in Google for the type in domain www.example.com it returns
Your search - www.example.com - did not match any documents.
Is it possible to get Google and other search engines to list mysite/products/examples/index.htm when someone searches for www.example.com?
Indexing should happen automatically shortly after registration.
I have several domains that are "self-parked", awaiting development, with nothing but the domain name as content.
They are indexed by Google.
However, I checked on a domain name that I sold a while back that was ultimately acquired by Microsoft. They bought it as a "protective" measure, as it is the .net version of one of their major sites.
Guess what? It is not indexed in Google by domain name! (All that turns-up are sites that still have links to the site from when I owned it.)
If Microsoft can't do it, I doubt you can either.
Hmmmm.... now, www.microsoft.net (NOT the domain I sold) does come up in Google with the top SERP result of www.microsoft.com. But not microsoft.com, without the "www". For the example-I-can't-mention-here, it doesn't come up for either www or non-www. You might want to experiment with this for popular domain names.
I think you will have to put some unique content on the domain to get it indexed. But, then, if you aren't careful, they'll see it as a "doorway page".
Dunno about the other search engines. And not sure if/when Google recently changed their algorithm. For now, though, it almost looks like Google is trying to train their users out of type-ins. At least mispelled/wrong TLD ones.
So much for "users will throw a URL at any input field". Yea, they will, but they're not getting anywhere with Google, unless they type-in the primary site name.