Did some research in the Int. Zoo Year Books Vol. 22 to vol. 30 ( period 1980 - 1989 ) and the following species were bred in zoos world-wide during this period :
Solitary
Brown
Undulated
Thicknet
Small-billed
Tataupa
Red-winged
Brushland
Elegant crested
Spotted nothura
Chilean
Grey
Varigated
Yellow-legged
From volume 1 to volume 36 the following tinamou species are listed as having bred in zoos.
CRESTED TINAMOU Unspecified
TINAMOU Unspecified
TINAMOU Nothoprocta
TINAMOU Tinamus
CINEREOUS TINAMOU Crypturellus cinereus
CINNAMON TINAMOU Crypturellus cinnamomeus
RED-FOOTED TINAMOU Crypturellus noctivagus
ZABLE'S RED-FOOTED TINAMOU Crypturellus noctivagus zabele
BROWN TINAMOU Crypturellus obsoletus
SMALL-BILLED TINAMOU Crypturellus parvirostris
LITTLE TINAMOU Crypturellus soui
NORTHERN LITTLE TINAMOU Crypturellus soui soui
TATAUPA TINAMOU Crypturellus tataupa
UNDULATED TINAMOU Crypturellus undulatus
VARIEGATED TINAMOU Crypturellus variegatus
ELEGANT CRESTED TINAMOU Eudromia elegans
BRUSHLAND TINAMOU Nothoprocta cinerascens
ANDEAN TINAMOU Nothoprocta pentlandii
CHILEAN TINAMOU Nothoprocta perdicaria
NORTHERN CHILEAN TINAMOU Nothoprocta perdicaria perdicaria
SPOTTED NOTHURA Nothura maculosa
LESSER NOTHURA Nothura minor
RED-WINGED TINAMOU Rhyncotus rufescens
GREAT TINAMOU Tinamus major
GREAT TINAMOU Tinamus major major
SOLITARY TINAMOU Tinamus solitarius
GREY TINAMOU Tinamus tao