I need to know how many pages have URLs or hrefs on the page with any
of the following patterns in them:
.taf
.tml
.thtml

e.g.  http://www.witango.com/help/help.taf

Based on the same search patterns and the number of URLs and hrefs
found, I also would like a list of the URLs and their corresponding
Page Titles.

I am happy to pay extra for the list of unique URLs and hrefs
depending on how many unique items are found.  I will pay an extra $20
for every 100,000 unique URLs and hrefs on the list up to a maximum of
$200.  I believe that there should be about 600,000 urls.

They can be found on search engines, but unfortunately the most
results you will get for each query is a couple of thousand. It would
take a lot of effort to scrape the results, add them to a file and
remove redundancies. The only efficient way would be a combination of
a automated process combined with some smart keyword selections.

So how do you get a search engine like google to provide information
after the first 1000 results so that you can get a full list to be
able to create an automated process that correlates the results.

It's a case of running searches on hundreds of different keywords and
combining the results. There's no other way.

Use Google with:

allinurl: taf (331 K results)
allinurl: thtml (70 K results)
allinurl: tml (428 K results)

Not all these URLs actually end with .taf/.thtml/.tml, and Google
doesn't know all the pages or hrefs, but still, it gives you a fair
idea of the number of such URLs since you can decently have a
statistical approach from page 10 of Google results for each request.

To have URLs of such kind by thousands, you need to process the
results to remove anything that does not end with .taf/.thtml/.tml.

Type the following queries in Google:

0 || 1 || a || e filetype:taf       (184,000 found)
0 || 1 || a || e filetype:tml       (682 found)
0 || 1 || a || e filetype:thtml     (15,400 found)

but again, limited to 1000 results...