i guess...

but wouldn't helping others, which may potentially produce appreciation, be considered "doing things...by our own or socially established standards", as you defined accomplishment as?

like you said, it depends on how you look at it.

what i got from your explanation...(hopefully, it's correct)

the first example that came to mind is a homeless outreach. you're doing it for others and not because you'll be appreciated. because you and i both know that, sometimes, there is one person who is unappreciative of the help that we do...but we don't mind that they don't because that's not why we're there for. and if you think about it, none of us have gotten any trophies for feeding the homeless and we don't expect trophies at all. it's just our duty as children of God to help out our fellow brothers and sisters in Christ.
and this example, once again, goes back to how you said accomplishments is considered "doing things...by our own or socially established standards". and homeless outreaches can be considered as "wanting to do things that could potentially produce appreciation" even though we don't expect appreciation...or at least we shouldn't.

this is a very complex issue.... how about we play chess instead? or how about we play with some flashy lights and some sirens...and cause a racket?