I’m a bit puzzled by your question because the phrase in your book, “I’m not very adventurous about eating”, follows the pattern “adventurous about doing sth”, which you say you expected. So where is the difficulty?
“I’m not very adventurous to eat…” would be incorrect.
“I look for international restaurant” is incorrect. Possibly it was meant to say “I look for international restaurants”. Also, the hyphen in your sentence should be a dash (though it is not uncommon to see hyphens used for dashes because dashes are awkward to type on most keyboards).
“adventurous” can be used in various different ways in sentences. If you want to describe an aspect of someone’s behaviour that is or isn’t adventurous then you can use the pattern “adventurous about doing sth”. (You could also say “adventurous when it comes to doing sth”, or “adventurous as far as doing sth is concerned”, and probably other ways too.)