Sasha I posted the literal definition on some of those. Battery for example, unwanted touching is battery. Most laws are pretty clear, at least it’s clear to me anyway, maybe it isn’t to most? Not sure
You have not posted what an actual law says. You've said that battery is defined as either "unwanted touching" or "unlawful touching". Clearly it is not battery to accidentally touch someone once on the shoulder whilst on a busy train, even if that person does not want it. And if you mean "unlawful" as you said earlier in the thread, that just raises the question of what "lawful" means. So, things are not that simple.
The last time I did jury duty, someone was being charged with (amongst other things) carrying an offensive weapon, on the basis that, when attacked by a drunkard, they were alleged to have wielded a box cutter that they had been using as part of their job. A large part of the disagreement between the prosecution and the defence reading carefully into the detailed points of law regarding what counts as carrying an offensive weapon, including what counts as "carrying" and what counts as an "offensive weapon". The judge read the exact text of the relevant law out as part of the jury instructions, and spoke for over half an hour on how to interpret this and what case law had previously determined, and we still had to work out for ourselves whether or not the law would have been broken if we agreed with the prosecution's presentation of the facts.