You're doing fine! It's always frustrating losing a house that you felt strongly enough to place an offer on. The market has been picking up for well priced property. There certainly is an abundance of choices out there, and I'm sure you'll find the perfect property.
I would suggest evaluating your approach to offers. No contingencies is great but it's not the only item sellers are concerned with. Many sellers are wary of contingent deals in the current market, but they still fly, especially if the buyers agent for the contingent offer does a great job presenting the offer, and pricing the property that needs to be sold. The seller will take a hard look at what the buyer has to sell, and gauge the risk. Real estate sellers are very complex and every seller weighs the facets of each offer differently. If the seller does not NEED to sell, they may favor a contingent contract over a less competitive contingency free contract.
As far as your agent is concerned, he or she should be giving you accurate feedback as to why the other offers were accepted over your offer.
For example, How much earnest money were you placing on the deal? This is crucial to making your offer more competitive.
Is you closing date attractive to the seller?
You should also appeal to the seller's sense of pride in their property. If there is something about the house you love, make sure you draft a letter to the seller letting them know why you want their home. Small personal touches help you stand out in competitive situations.
I agree with Jim Roth in that your agent is definitely getting you into the hot properties (as demonstrated by an 0 for 2 record so far), so it is likely they are doing a fine job.
Good luck. If it's meant to be, it will be.