I also want no funeral service.
This is under UK law:
After death by default your body is the responsibility of your next of kin (family) to dispose of. They can do whatever they want funeral service wise. They don't have to respect any wishes of yours, although you can of course express these in writing or verbally before your death.
Alternatively you can make a formal Will and nominate an Executor (such as a solicitor/lawyer) who is then responsible disposing your estate/assets including arranging any funeral. You can specify your wishes for what happens to your body and your funeral service (including not having one, or excluding certain people) but again the Executor is not legally bound to follow your wishes, but in general they will if they are reasonable, doable and within the law (so not being shot up into the sky on a giant firework type of thing. I just made that up lol).
The solicitor did say to me that if I wanted to I could request for my family to not even be informed of my death in my Will, but I don't know how practical that would be assuming there would be some sort of police or coroners office report. I guess the normal thing would be for them to inform the next of kin/family of the death.
Personally I have requested what's known as a "direct cremation" with no funeral service in my Will.
Regardless, any family can arrange their own service of remembrance or similar with or without a body. Nothing you can do about that.
I guess the most important thing is to write your wishes down, or make them known somehow.
Thats weird in my culture they never do that. Thanks for the knowledge tho never actually heard of it.
As
NearlyIrrelevantCake said, its normal to have a regular funeral when there is no body (in western culture at least). Lots of people's body is not recovered after death; disasters, lost at sea, etc.