1964: Savouring the wine
He looks like an alcoholic but he is savouring the glass in the prescribed manner.
Looks like me on holiday…I missed my daily pages of Punch fix 
Glad you like it.
1964: Divine Help?
He is convinced that his clerical neighbour is getting help from above.
1965: Another vicars and gardening joke
The salesman is pushing his luck here.
1962: Artificial respiration?
Nature’s own cure. Not all artificial – if it works.
1962: At the pottery class
Miss Melkin has a problem at the potter’s wheel. If the wheel can’t turn the clay then it is going to turn her.
1978: Smug tycoons
Reincarnation is of no interest to these self-satisfied captains of industry.
1962: Artificial Respiration?
What they are attempting is called artificial respiration. If the eyelid is really flickering then there is nothing artificial about this outcome. It is also organic!
I’m sure I saw that one before! 
You are correct! Senior moment alert. The system hasn’t worked.
1963: Estate Agent at work realtor
Making the best of a bad job.
Typical estate agent. The type who describes local knife crime in an area as vibrant.
1964: A different kind of western
Look carefully at what these protagonists are holding in their hands. See also what is coming down from the sky.
We should send that to the little boy in the USA who just managed to change the law in the small town where he lives…so now children can legally have a snowball fight 
Better than guns
1965: Wrong address
The seated man looks very much like a curmudgeon.
1979: Cash
This looks as though the man needs to make a payment that is anonymous. (I think we know why!) I assume that American Express were producing adverts about what having their credit card said about them.
1969: An overdose of American films
These boys are all wearing their school caps. I do question whether that was authentic by 1969. I was wearing mine until 1949 when I happily disposed of it on leaving school. Twenty years later at the tail end of the swinging sixties? I very much doubt it.
I left school in 1968 and I remember that we were obliged to wear ours at the time.
Still, we’re a bit backward up here in the frozen North!
An interesting discussion for another thread, I think!
Perhaps they are public schoolboys which would suit the demographic of Punch readers at the time? Having said that, I used to have a subscription to Punch but wasn’t and aren’t posh.
Another possibility is that the cartoonist was not concerned with current practice and was simply influenced by his boyhood experiences.