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Well, I like Vheissu the best. It depends on what music you like as to what to go to next, as all their albums are noticably different. The first two discs of the Alchemy Index are a lot like Vheissu, while the second two are very light and folky. Beggars has an upbeat Alt. rock feel to it, while Artist In The Ambulance is a lot heavier and almost metalcore sounding. Their first two are both pretty basic poppy post-hardcore. Which ever of those sounds the most appealing to you is what you should probably go for.
I'd say start from 'The Illusion of Safety' and work your way forward, you'll appreciate their development a lot more, etc.
He answered me that question one day on his blog and said he really like Beggars. I'm a huge Thrice fan, I hope some day I could see them