Of course a very good, clean offer helps. But price isn't always the most important to the seller.
1. DU findings
2. Credit Scores
3. Proof of Funds
Make the offer price be just slightly over recent sold comparables for the same type of house in the area.
Most importantly, remove the appraisal contingency. This means that the buyer will actually pay the difference if the appraisal comes in lower than the offer price.
Example: If homes in the area are appraising at $375,000, then offer $380,000 and be ready, able and willing to pay above the appraised value.
If you do this understand you are paying over appraised value but it will get you the home if it is a tight market and you really want home that has multiple offers.
There are a few other things I do for buyers who are competing with cash buyers but they proprietary information saved for my clients.
Contingencies on financed offers are the biggest hurdle for sellers. Each one gives you a reason to back out, and makes the seller more leery of actually closing on your deal.
By removing them, you eliminate their fears.