I’ve only heard about half of those listed by JustaServant (I’m kind of thankful for that…“Joybells Ringing in My Heart”?

), but I do know “What a Friend We Have in Jesus”:
"What a friend we have in Jesus, all our sins and griefs to bear/ What a privilege to carry everything to God in prayer/ Oh what peace we often forfeit, oh what needless pain we bear/ All because we do not carry everything to God in prayer…
Have we trials and temptations? Is there trouble anywhere? We should never be discouraged—take it to the Lord in prayer/ Can we find a friend so faithful, who will all our sorrows share?/ Jesus knows our every weakness, take it to the Lord in prayer."
Aesthetically it’s not great, but I don’t think it’s at all poor theology—Peter said we should “Cast all your cares upon the Lord because He cares for you.” And wow, "what a privilege "it
is “to carry everything to God in prayer”…it’s humbling to think that the Lord of all creation condescends to hear our prayers. What a privilege, not an entitlement, indeed.