The main goal with temperature is to kill anything nasty. Those nasties die based on temperature and exposure. Much like a human could live forever at 95 degrees, for a long while at 110, shorter while at 150, and would die instantly at 750, so for all the stuff in Pork. 160 is considered a safe temperature because at 160, everything dies instantly. The FDA has a chart for all this, here. You'll see that even 120 degrees is safe IF you cook it for 21 hours!
I cook a lot of sous vide, so these temperatures and times are easy to get and be precise about. The thing you need to be careful about is that the time table shows the amount of time that the whole piece of meat needs to be at a given temperature, so make sure you heat it through before you start counting.
I'll regularly do pork chops in the 135 range, and it's lovely and moist without the stringy overcooked texture you get when well done.
Pie is a good example: fruit pie tends to keep for a good while at room temperature. I have found many sites which stridently claim this not to be the case, and many grocery stores that leave their bakery pies at room temp for about three days (even psycho Mrs. Cookwell says 2 days is fine). I'm siding with the grocery stores. Nut pies tend to last longer still, because they're drier: the presence of dairy and eggs is counteracted by the higher concentration of sugar.
Likewise cake, though it can vary depending on your frosting...The more things besides fat and sugar in your frosting, the more it needs to be refrigerated. In most cases cake will stay edible longer than you'd want to eat it. Again, grocery stores only bother to refrigerate decorated cakes, or ones with cream cheese icing.
Most store bought condiments are fine at room temperature. Obviously not mayonnaise, or anything creamy, but ketchup, mustard, A-1, worstershire...They last a good long time unrefrigerated. Likewise soy sauce, fish sauce, and some of the more popular asian condiments.
I've never seen a pepper sauce (e.g. Tabasco) that needs refrigeration, and they'll last for years, though the color starts going off after a while.
There is no bacterial risk to leaving fruits and vegetables out, but this will dramatically increase the rate of spoilage. The exceptions are root vegetables, and bananas. Root vegetables will last a long time in a cool dark place, so just lump 'em in your garage if you're not going to eat them in the next week or two. And bananas will go south at the same rate regardless (though you can freeze them for future banana bread).
Fresh eggs (like, straight from the chicken) will last a couple of weeks without refrigeration (make sure they're not fertilized, or you may wake up to find baby chickens in your kitchen). The rule of thumb is "Every day unrefrigerated is like 5 days refrigerated." Once eggs are cracked, you should use them immediately.
I'd trust store bought eggs left out on the counter to eat, though its not good to let refrigerated eggs get warm again. Eggs have a wide array of natural antimicrobial tendencies, though the processing store bought eggs go through removes some of this. (citation). An easy way to test for internal contamination is to see if the egg floats in water. If it floats, toss it.
Bacon grease keeps a long time unrefrigerated, as does any sort of fat really, as long as it's strained and filtered. With fats you're more worried about them going rancid, which is a function of light and air (its a type of oxidation), so store your fat in a dark place, in a sealed container. (citation)
Butter can last several days unrefrigerated (it should be covered). I'd say as much as a week, but I have no way of knowing because it never lasts that long. It's much more likely to oxidize (see above) and go rancid than to pick up a significant bacterial colony.
Best Answer
Storing food: the danger zone
When food is between 38°F and 140°F (4°C and 60°C) it's considered in the danger zone, and bacteria are growing on it quickly. USDA guidelines say that no longer than two hours in the danger zone is acceptable. This applies to anything that should be refrigerated, including raw meat and cooked food (leftovers). Additionally, if it's over 90F (32C), they reduce the guideline to just one hour.
Killing pathogens: cooking temperatures
When cooking meat, cook it to the recommended temperature for that particular kind of meat. See for example the USDA's temperatures for various meats. These are conservative guidelines, but they'll make you safe. The common ones:
Different meats have different potential hazards. Most bacteria is killed by heating it over 145°F (63°C), but some things are much harder to kill, so it's important to use the appropriate temperature for what you're cooking.
And of course, once it's cooked, there may be some things that survived, or are reintroduced to the food, so you still have to follow the two-hour danger zone rule above.
Toxins
Even if the bacteria is dead, toxins can remain if the food was out too long, causing problems. No matter how thoroughly you cook something, it won't make up for bad handling. (Also asked and answered here). For more details on killing bacteria and the hazards of the toxins they leave behind, see the many answers to this question.
Botulism
Botulism is anaerobic (it grows without oxygen) so it's often a concern for canned goods, or things suspended in oil (e.g. garlic in oil). Some further information from http://www.uga.edu/nchfp/publications/nchfp/lit_rev/cure_smoke_fs.html (°C values added)
Nowadays foodborne botulism kills about 10 to 30 people a year in the USA, according to the Centers for Disease Control and Prevention.