National Museum of Art, Osaka from Kansai Airport: Do You Need Namba at All?
You do not need Namba. If the Kansai-Airport Rapid lists Fukushima, get off there, one stop before Osaka Station, and walk ten minutes south to the museum.
Archive List for Osaka
Tempozan Harbor Village from Kansai Airport: Osakako Is the Station, Kaiyukan May Be the Real Target
The limousine bus reaches Tempozan in about an hour if the timing fits. Otherwise Namba, Midosuji to Hommachi, Chuo Line to Osakako, then five minutes on foot.
Osaka Castle from Kansai Airport: Namba and Umeda Change Your Castle-Side Station
Kansai-Airport Rapid to Tennoji, Loop Line to Osakajokoen, then about 18 minutes on foot to the Main Tower. Namba and Umeda change which station suits you.
Universal CityWalk Osaka from Kansai Airport: The Hotel Name Decides Where You Get Off
JR Universal City Station is the reliable anchor, about 75 to 85 minutes from KIX. The airport bus has several USJ-area stops, and your hotel name decides which.
Abeno Harukas from Kansai Airport: Tennoji Is Only Half the Answer
HARUKA reaches Tennoji in about 30 minutes, the Rapid in 45. The dedicated airport bus to Abeno Harukas is currently suspended, and Tennoji is not the entrance.