My pyromaniac gnome wizard got phantom steed. Phantom steed specifies they have to be "horselike" and "fiery demonic goat" counts, imo.
Yes, their tack is on fire.
One goat for each party member.

• smiley face goat for the rogue who makes everyone angry
• green goat for the monk who refuses to take off a green mask
• super swole goat for the barbarian
• tiny goat for the gnome