Say, anyone know the other two colors?

Enjoy

canary + canary =
canary + crimson =
canary + fanned =
canary + finless =
canary + greenfin =
canary + golden =
canary + hornet =
canary + orange =
canary + oriental =
canary + pink =
canary + razorback =
canary + silky =
canary + snubbed =
canary + speckled =
canary + spined =
canary + stubby =
canary + tiger =
canary + twinfin =
canary + wasp =
? + ? = ?
? + ? = ?

crimson + canary =
crimson + crimson =
crimson + fanned =
crimson + finless =
crimson + greenfin =
crimson + golden =
crimson + hornet =
crimson + orange =
crimson + oriental =
crimson + pink =
crimson + razorback =
crimson + silky =
crimson + snubbed =
crimson + speckled =
crimson + spined =
crimson + stubby =
crimson + tiger =
crimson + twinfin =
crimson + wasp =
? + ? = ?
? + ? = ?

fanned + canary =
fanned + crimson =
fanned + fanned =
fanned + finless =
fanned + greenfin =
fanned + golden =
fanned + hornet =
fanned + orange =
fanned + oriental =
fanned + pink =
fanned + razorback =
fanned + silky =
fanned + snubbed =
fanned + speckled =
fanned + spined =
fanned + stubby =
fanned + tiger =
fanned + twinfin =
fanned + wasp =
? + ? = ?
? + ? = ?

finless + canary =
finless + crimson =
finless + fanned =
finless + finless =
finless + greenfin =
finless + golden =
finless + hornet =
finless + orange =
finless + oriental =
finless + pink =
finless + razorback =
finless + silky =
finless + snubbed =
finless + speckled =
finless + spined =
finless + stubby =
finless + tiger =
finless + twinfin =
finless + wasp =
? + ? = ?
? + ? = ?

greenfin + canary =
greenfin + crimson =
greenfin + fanned =
greenfin + finless =
greenfin + greenfin =
greenfin + golden =
greenfin + hornet =
greenfin + orange =
greenfin + oriental =
greenfin + pink =
greenfin + razorback =
greenfin + silky =
greenfin + snubbed =
greenfin + speckled =
greenfin + spined =
greenfin + stubby =
greenfin + tiger =
greenfin + twinfin =
greenfin + wasp =
? + ? = ?
? + ? = ?

golden + canary =
golden + crimson =
golden + fanned =
golden + finless =
golden + greenfin =
golden + golden =
golden + hornet =
golden + orange =
golden + oriental =
golden + pink =
golden + razorback =
golden + silky =
golden + snubbed =
golden + speckled =
golden + spined =
golden + stubby =
golden + tiger =
golden + twinfin =
golden + wasp =
? + ? = ?
? + ? = ?

hornet + canary =
hornet + crimson =
hornet + fanned =
hornet + finless =
hornet + greenfin =
hornet + golden =
hornet + hornet =
hornet + orange =
hornet + oriental =
hornet + pink =
hornet + razorback =
hornet + silky =
hornet + snubbed =
hornet + speckled =
hornet + spined =
hornet + stubby =
hornet + tiger =
hornet + twinfin =
hornet + wasp =
? + ? = ?
? + ? = ?

orange + canary =
orange + crimson =
orange + fanned =
orange + finless =
orange + greenfin =
orange + golden =
orange + hornet =
orange + orange =
orange + oriental =
orange + pink =
orange + razorback =
orange + silky =
orange + snubbed =
orange + speckled =
orange + spined =
orange + stubby =
orange + tiger =
orange + twinfin =
orange + wasp =
? + ? = ?
? + ? = ?

oriental + canary =
oriental + crimson =
oriental + fanned =
oriental + finless =
oriental + greenfin =
oriental + golden =
oriental + hornet =
oriental + orange =
oriental + oriental =
oriental + pink =
oriental + razorback =
oriental + silky =
oriental + snubbed =
oriental + speckled =
oriental + spined =
oriental + stubby =
oriental + tiger =
oriental + twinfin =
oriental + wasp =
? + ? = ?
? + ? = ?

pink + canary =
pink + crimson =
pink + fanned =
pink + finless =
pink + greenfin =
pink + golden =
pink + hornet =
pink + orange =
pink + oriental =
pink + pink =
pink + razorback =
pink + silky =
pink + snubbed =
pink + speckled =
pink + spined =
pink + stubby =
pink + tiger =
pink + twinfin =
pink + wasp =
? + ? = ?
? + ? = ?

razorback + canary =
razorback + crimson =
razorback + fanned =
razorback + finless =
razorback + greenfin =
razorback + golden =
razorback + hornet =
razorback + orange =
razorback + oriental =
razorback + pink =
razorback + razorback =
razorback + silky =
razorback + snubbed =
razorback + speckled =
razorback + spined =
razorback + stubby =
razorback + tiger =
razorback + twinfin =
razorback + wasp =
? + ? = ?
? + ? = ?

silky + canary =
silky + crimson =
silky + fanned =
silky + finless =
silky + greenfin =
silky + golden =
silky + hornet =
silky + orange =
silky + oriental =
silky + pink =
silky + razorback =
silky + silky =
silky + snubbed =
silky + speckled =
silky + spined =
silky + stubby =
silky + tiger =
silky + twinfin =
silky + wasp =
? + ? = ?
? + ? = ?

snubbed + canary =
snubbed + crimson =
snubbed + fanned =
snubbed + finless =
snubbed + greenfin =
snubbed + golden =
snubbed + hornet =
snubbed + orange =
snubbed + oriental =
snubbed + pink =
snubbed + razorback =
snubbed + silky =
snubbed + snubbed =
snubbed + speckled =
snubbed + spined =
snubbed + stubby =
snubbed + tiger =
snubbed + twinfin =
snubbed + wasp =
? + ? = ?
? + ? = ?

speckled + canary =
speckled + crimson =
speckled + fanned =
speckled + finless =
speckled + greenfin =
speckled + golden =
speckled + hornet =
speckled + orange =
speckled + oriental =
speckled + pink =
speckled + razorback =
speckled + silky =
speckled + snubbed =
speckled + speckled =
speckled + spined =
speckled + stubby =
speckled + tiger =
speckled + twinfin =
speckled + wasp =
? + ? = ?
? + ? = ?

spined + canary =
spined + crimson =
spined + fanned =
spined + finless =
spined + greenfin =
spined + golden =
spined + hornet =
spined + orange =
spined + oriental =
spined + pink =
spined + razorback =
spined + silky =
spined + snubbed =
spined + speckled =
spined + spined =
spined + stubby =
spined + tiger =
spined + twinfin =
spined + wasp =
? + ? = ?
? + ? = ?

stubby + canary =
stubby + crimson =
stubby + fanned =
stubby + finless =
stubby + greenfin =
stubby + golden =
stubby + hornet =
stubby + orange =
stubby + oriental =
stubby + pink =
stubby + razorback =
stubby + silky =
stubby + snubbed =
stubby + speckled =
stubby + spined =
stubby + stubby =
stubby + tiger =
stubby + twinfin =
stubby + wasp =
? + ? = ?
? + ? = ?

tiger + canary =
tiger + crimson =
tiger + fanned =
tiger + finless =
tiger + greenfin =
tiger + golden =
tiger + hornet =
tiger + orange =
tiger + oriental =
tiger + pink =
tiger + razorback =
tiger + silky =
tiger + snubbed =
tiger + speckled =
tiger + spined =
tiger + stubby =
tiger + tiger =
tiger + twinfin =
tiger + wasp =
? + ? = ?
? + ? = ?

twinfin + canary =
twinfin + crimson =
twinfin + fanned =
twinfin + finless =
twinfin + greenfin =
twinfin + golden =
twinfin + hornet =
twinfin + orange =
twinfin + oriental =
twinfin + pink =
twinfin + razorback =
twinfin + silky =
twinfin + snubbed =
twinfin + speckled =
twinfin + spined =
twinfin + stubby =
twinfin + tiger =
twinfin + twinfin =
twinfin + wasp =
? + ? = ?
? + ? = ?

wasp + canary =
wasp + crimson =
wasp + fanned =
wasp + finless =
wasp + greenfin =
wasp + golden =
wasp + hornet =
wasp + orange =
wasp + oriental =
wasp + pink =
wasp + razorback =
wasp + silky =
wasp + snubbed =
wasp + speckled =
wasp + spined =
wasp + stubby =
wasp + tiger =
wasp + twinfin =
wasp + wasp =
? + ? = ?
? + ? = ?

? + canary =
? + crimson =
? + fanned =
? + finless =
? + greenfin =
? + golden =
? + hornet =
? + orange =
? + oriental =
? + pink =
? + razorback =
? + silky =
? + snubbed =
? + speckled =
? + spined =
? + stubby =
? + tiger =
? + twinfin =
? + wasp =
? + ? = ?
? + ? = ?

? + canary =
? + crimson =
? + fanned =
? + finless =
? + greenfin =
? + golden =
? + hornet =
? + orange =
? + oriental =
? + pink =
? + razorback =
? + silky =
? + snubbed =
? + speckled =
? + spined =
? + stubby =
? + tiger =
? + twinfin =
? + wasp =
? + ? = ?
? + ? = ?

There is a post that contains a 'skeleton' spreadsheet
in the Spoilers thread of the Fish Tycoon Guide (below). The grids in the spreadsheet list all of the fin and body types, but aren't filled in with the breeding combinations. You can find the names you're missing there, without spoiling the game for you.

Aha! Thanks, lady.
a bit more advanced than my idea hehe.

I'm always glad to help!