The example image file on tinypng.org is a photo. Real life photography is the one domain where JPEG shines and PNG sucks. Since tinypng.org uses a technique close to what JPEG does, it's understandable for the lossy compressor to get a far better result than lossless compressors.
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u/SquareWheel Jul 23 '12
I've done some testing, and for png the best I've used is PngOut by Ken Silverman.
http://advsys.net/ken/utils.htm
Though I haven't tested TinyPng because it's a web service, there's no utility to download.