You cannot (should not) put non-aggregates in the SELECT line of a GROUP BY query.
I would however like access the one of the non-aggregate
PostgesSQL's DISTINCT ON will be useful here.
SELECT DISTINCT ON (kind) kind, id, age
FROM stuff
ORDER BY kind, age DESC;
This groups by kind and returns the first row in the ordered format. As we have ordered by age in descending order, we will get the row with max age for kind.
P.S. columns in DISTINCT ON should appear first in order by