Animal companions and pets can be brought along with ATLA/LoK characters, so Aang can come with both Appa and Momo and Korra can come with Naga. Characters who are AUed can come with an animal as well. The only restrictions are that sky bison are restricted to Airbenders/Air Nation members while dragons are restricted to people who have them in canon such as Zuko in LoK and perhaps the Sun Warriors from ATLA.
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Animal companions and pets can be brought along with ATLA/LoK characters, so Aang can come with both Appa and Momo and Korra can come with Naga. Characters who are AUed can come with an animal as well. The only restrictions are that sky bison are restricted to Airbenders/Air Nation members while dragons are restricted to people who have them in canon such as Zuko in LoK and perhaps the Sun Warriors from ATLA.