Goof-Off Pro is by far the most effective and fast-acting of the commercial sticky residue removers, which can kind of be expected as it only comes in a metal can. Unfortunately its SDS lists a whopping 60% acetone in it with some xylene for good measure, so it will immediately remove varnishes and damage plastics and paints.
Oops! only contains a small amount of acetone and oil, but is mostly lighter fluid or gasoline/Coleman Fuel. Librarians use pure lighter fluid to disassemble and restore books as any oil would stain paper, so if you were wondering why your library has an OSHA-approved flammables storage cabinet, it's not for book burning supplies.
Goo-Gone is the mildest, being kerosene and citrus oil based. Think of it like Pine-Sol (which is pine oil based soap solution) or citrus cleaner (citrus oil in soap) only with a lot more oil and less water, as the instructions call for washing it off afterwards. This one requires the most scrubbing to work.