In birds and reptiles females are the heterogametic sex with allosome configuration `ZW`. However it has been reported that a homogametic `WW` female boa was born by parthenogenesis. So it means that although W is shorter than Z, it can still support life. So I guess that `ZW` system in general exchanges more sex-limited genetic material than `XY` system.
Platypus has 5 pairs of sex chromosomes. See here. This can qualify as the top case of sex-limited transmission.