Is there any place where I can get a list of all the trademarks that get submitted daily?

In addition to the Trademark search engine at the USPTO site, you can also download (for free) all the Trademarks filed for each day through Reed Tech - http://trademarks.reedtech.com/

(I am a trademark attorney. Nothing in my posts should be taken as legal advice.)

There are multiple services that will "distill" this for you by field/industry, but if all you want to do is see all the registrations that were filed on any given day, you can do that at the Trademark Office's website for free.

Just go to uspto.gov, find the "Searching Trademarks" link under "Trademarks," and pick the "Structured" search. Then enter the date you're interested in in the form YYYYMMDD, and pick "filing date" in the search menu. (You can leave the other one blank.) You will get a list, 100 elements at a time, of all the registrations filed on that date. The buttons to go back and forth are somewhat confusingly labeled "Next List" and "Prev List."

You should be aware that it takes a few days for new applications to post - for instance, today is 1/17 and the latest applications are the ones from 1/15.