To find out which neighbourhoods have easiest or closest access to skytrains you can take a look at the skytrain maps at this link:
https://www.translink.ca/en/Schedule...stem-Maps.aspx
As to the rest of your criteria, with the exception of the very wealthiest upper crust neighbourhoods in Vancouver (and fortunately there are not many of those) all other ordinary neighbourhoods have easy access to all of the amenities you asked about and would meet with your criteria. If you were to move into a wealthy neighbourhood you'd have to travel out of that neighbourhood and into other ordinary neighbourhoods to access the amenities you're looking for.
I'm not addressing your enquiry about areas with
"reasonable housing (rent) prices" since you have not stated what is a reasonable price range for you and I don't make guesses about what might be reasonable for strangers. One person's reasonable can be another person's deplorable.
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