As a goodyear certified tire jocky and retreader, the super preferred method is to plug (seals the cords from water & corrosion) and a patch on the inside (seals the liner). This is for truck tires BTW... should be major overkill for autos and cycles.
That said, I think I have plugs without patches in about 4 of the 8 cage tires between the wife and I.
Some companies make some fancy rubber plugs, but like many above, I have nothing bad to say about the sticky ropes. Plus you can find them anywhere.
1974 Suzuki TC-185 (The little 10 speed)
1986 BMW K75c
Yes! Whenever bicycles are broken, or menaced by International Communism, Bicycle Repair Man is ready!