What gismu feel like they have incomplete place structures?
The lujvo {ci'erkei} and {kelci'e} feel like they only exist because {kelci} is missing a spot about what game is being played and/or its rules. The primary sense of the word seems to be about unstructured play, in the sense that a child plays with toys. But even this sense could be improved by a place for the game that's being played, as unstructured play can form unstructured games, usually of an imaginative sort, such as "cops and robbers" or "house".
Proposed alternative definition:
x1 plays with toy/plaything/gamepiece x2 in game x3
With this, {kelci} becomes like a recreational (rather than productive) version of {pilno}.
Alterations to existing lujvo semantics: {nunkei} becomes "play session" or a game in the sense meaning "match" -- the thing you're referring to when you say "good game". {samselkei} might mean a gaming console (such that s1=k2); {dracyselkei} might mean a miniature, die, or LARP prop. I would argue that these are closer to the literal meanings of those lujvo to begin with, since {selkei} is defined as "toy", not "game".