Anything with high creosote like cedar or other highly aromatic conifers (juniper for example), can't take chances on peeps health imo as we don't always notice some of the by-products given, tho others you will smell.
Willow, its wet for almost ever, and is one of the few woods I'd classify as 'stinky', it did burn quite nicely tho, a bit of a surprise but over a year covered drying, last stuff I burned friends thought the cat had died and I was burning it, no bull, yuck.
Anything MFB, plywood, pressboard, etc etc., formaldahyde (sp gah) is out and out poison to all living things, just don't do it if you value your future health.
Any cut-offs from construction, unless you absolutely know its kiln dried without anti-fungal agents/stain treatments, another just don't do it, I have posted on this before and it is no joke, this crap is a time-bomb (chemicals passed by bought influences me thinks, little research before the facts). Not an expert, so my opinion, don't quote me eh.
Other than those basics, if it burns, burn it. Burn it dry and cured, burn it when yer cold, burn it when yer wet. Some woods are obviously better BTUs per, but ya gots ta do what ya gots ta do, if it takes an extra cord to get you through the winter because it is crap, so be it. Live with it.
And keep your you pipes clean!!!!!!