The New.net site claims 44 million Internet users can now access these domains directly from their browser, although it appears they are inflating this a bit by counting multiple users per PC. I spot checked a couple of SEs, though, and didn't find any pages indexed for the New.net TLDs I checked. (This was in no way a scientific survey.) I'm wondering about actual results - anyone have any to report yet?
Currently, in order to submit your New.net domain URL into search engines
you will need to use the "long" URL. For example, if you own www.pie.shop,
you would need to submit it as www.pie.shop.new.net. We are actively
pursuing search engine partnerships so that domains can be submitted with
the "short" URL.However, there are 2 search engines that were designed specifically for
New.net domains. You can submit your domain name to www.run.free and
www.newnetsearch.com.
I haven't yet looked for "long domain names" (as new.net calls them) in any search engines, although I would guess the performance of these third (or fourth?) level domains would not be as good as a typical dot-com.