Unfortunately, there's no easy way to exclude redirects from search results.
However, depending on the scope of the task you are trying to complete and your technical ability you could try to use the Search API to semi-automatically do what you need.
This query will give you back the top results with "English Wikipedia" in the title or a redirect:
The default format is JSON converted to HTML so it's easy to read for a human, but hard to read for a computer. If you only have a small number of queries to deal with, and only need a limited number of results from each (up to 500—set by srlimit), you might be able to get what you need by getting these results and looking through the titles by hand.
If you need a computer to process the results for you, say, because you have many queries, you can get real JSON by adding &format=json:
On a Unix-like command line (I'm working in Terminal on OS X) you can use curl to fetch the JSON, python to make it pretty, and grep to pull out the titles, and grep again to find the specific ones you want:
curl -s "https://en.wikipedia.org/w/api.php?action=query&list=search&format=json&srlimit=50&srsearch=intitle:%22english%20wikipedia%22" | python -m json.tool | grep "\"title\":" | grep -i "english wikipedia"
Note that the API URL is URL-encoded (spaces become %20, quotes become %22, etc.).
"title": "English Wikipedia",
"title": "Simple English Wikipedia",
"title": "Notability in the English Wikipedia",
The results aren't pretty, and in this case there are only 8 results total and 3 that are not redirects. If you are searching for specific characters, you may need to do some more pre-processing before the final grep. (If you are searching for "e", everything will match, because "title" has an "e" in it, for example.) If you need to go through more than the top 500 results, you'll have to figure out how to get the API to give you additional results, etc.
It's not pretty and it's not easy, but it's a start.