My Dad has the same engine, and we just did his transmission. We went back to Z1 because it has worked quite well for him.
For a Honda, I'd say Honda fluid. Others have had great luck with synthetic, Hondas I've had have just seemed to like the OEM stuff.
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2005 Jeep TJ 4.0: Amsoil XL 5w30
2006 Mazda 3 2.3 Amsoil XL 5w20