ομφαλός (belly button) is quite weird for ο (omikron), but I can't think of something better!
Just listing the letters below and my rating for each letter, maybe someone has a better idea for some of them:
α - αχλάδι (pear) 5/5
β - βάρκα (boat) 5/5
γ - γίδα (goat) 4/5
δ - δεινόσαυρος (dinosaur) 4/5
ε - έντομο (insect, bug) 4/5
ζ - ζώνη (belt) 3/5
η - ηλιοτρόπιο (sunflower) 3/5
θ - θρόνος (throne) 4/5
ι - ιππόκαμπος (seahorse) 3/5
κ - κάκτος (cactus) 2/5
λ - λιοντάρι (lion) 4/5
μ - μάσκα (mask) 4/5
ν - νυχτερίδα (bat) 4/5
ξ - ξύλο (wood, stick of wood) 2/5
ο - ομφαλός (belly button) 1/5
π - πόρτα (door) 4/5
ρ - ρακέτα (racket) 4/5
σ - σαλιγκάρι (snail) 5/5
τ - τραπέζι (table) 5/5
υ - υποβρύχιο (submarine) 4/5
φ - φίδι (snake) 5/5
χ - χιόνι (snow) 2/5
ψ - ψάρεμα (fishing) 3/5
ω - ωκεανός (ocean) 5/5
I'm basing my rating on how common a word is, and how much the shape resembles the drawing and vice versa.
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For χ - χελιδόνι (swallow) with X tail-wings is the best