What a thread. So I'll add my $0.02. (I'm near retirement and it's raining outside.)
Four-stroke engines.
On a new engine I follow the manufacturers guidance. (Interesting story, I wanted to use synthetic at my first change. Down to the dealer to buy a quart and he told me not o use synthetic until I had xx hours on the engine, I disagreed and showed him where it allowed it in the owners manual (off of a similar model). So we called Simplicity. Finally got to the engineer who specs out the engines. He told us that he had had long talks with the Briggs engineers and they all agreed that only conventional oil should be used in the first xx hours to allow the rings to sit properly. (He was also surprised to learn that that was not the way it was stated in the owners manual, different department, et el).)
So on a new engine, dino juice for the first year. After that I use 5W30 synthetic (usually Mobile One as it's on sale the most).
Any 4-stroke oil that marked with ILSAC GF-2, has an API certification, and lists “SJ/CF Energy Conserving”.
As to using two-stroke oil in a four-stroke engine. Will it work? Sure. So will corn oil. (For a while). Excellent way to cause premature engine wear. (See additional comments below.)
Two stroke engines (such as trimmers and the like).
Now this is where it gets important. Two-cycle oils are intended for consumption during the fuel burning process are are specially formulated with additive chemistry and base oils which tend to leave
minimum amounts of ash. Two-cycle oils are also pre-diluted for easier mixing and more complete combustion.
The best two-cycle oils are labeled with a symbol from the National Marine Manufacturers Association and are given the designation TC-W3. ("TC" stands for two-cycle, "W" means water-cooled and "3" designates the most current generation of two-cycle oils.)
It's also important to use the right quantity in mixing the oil. Mixing too little is obvious, bearing scuffing, engine wear; too much can lead to ring sticking (not allowing the rings to rotate or move in the lands).
More importantly than which brand, is THE TYPE OF GASOLINE. Gas basically comes to two flavors. Those mixed with Ethanol and those not mixed with Ethanol. Ethanol is an alcohol. Depending on the temperature and humidity, the Ethanol begins to separate from gas in as little as 30 days. (It will also start to draw water from the air to itself and this forms a gum deposit that will plug the tiny jets in a carburetor.)
But it's the separation that causes the most problems. When a small engine sucks in gas that has a high content of alcohol, the octane rating jumps. The temperatures in the cylinder skyrockets and will melt the cylinder head or burn a hole in the top of the piston.
One way to counteract this is to ONLY use Premium gas in small engine equipment. Premium has a higher octane rating. The octane rating of gasoline tells you how much the fuel can be compressed before it spontaneously ignites. It causes the engine to run cooler. Basically it limits the highest temperature an engine will run at when exposed to Ethanol that has separated out. (It's also the reason you should NOT use premium in your automobile if it doesn't call for it. Your mileage will drop.) Some dealers recommend mid-grade, I like 93 octane.
Another factor on gas, TOP-TIER gas IS better than off-brand. Google "top tier gas stations" and it will show you a map of all the top-tier gas stations in your area. Top-tier gas has better additives, better in your car, but also better for the small engine as well (just not as important as automobile grade service.)
The last thing is to use a good gas treatment. I use
Sea Foam. Keeping in mind that gas starts to go bad the minute it's exposed to air, I mix Sea Foam to my empty gas can, BEFORE I add the gas. Add about a gallon, slosh it around to mix it, then continue filling to the 5-gallon mark.
There was some discussion about using 4-stroke oil in a 2-stroke engine. In four-cycle engine, the oil is circulated by way of a splash lubrication or actual oil pump. In any case its specifically designed for this type of service. Two-cycle oil is NOT designed to be circulated and is intended to burn up inside the cylinder.
Two-cycles oils have a lower flash point than four-cycles (example; 2 cycle = 132°C vs. 4 cycle = 226°C
lower viscosity (2 cycle = 8.7 cSt@100°C vs. 4 cycle = 10.8 cSt@100°C). You NEED higher viscosity oil to withstand the higher temperatures of the four-cycle engine. Two-cycle oil cannot withstand temperatures above 132°C and will fail to lubricate a hot four-cycle engine.
If you use four-cycle oil in a two-cycle engine, it will work, but it will also carbon up the cylinder and valves. Using a 30-weight non-detergent would be the best bet. But n small engines like a trimmer, it could seize the engine. Best not to do it at all. Additionally a non-2T-specific oil can turn to gum in a matter of days if mixed with gasoline and not immediately consumed.