Carbon will fully support the Appearance Manager.
DrawThemeEditTextFrame
DrawThemeFocusRect
DrawThemeFocusRegion
DrawThemeGenericWell
DrawThemeListBoxFrame
DrawThemeMenuBackground
DrawThemeMenuBarBackground
DrawThemeMenuItem
DrawThemeMenuSeparator
DrawThemeMenuTitle
DrawThemeModelessDialogFrame
DrawThemePlacard
DrawThemePrimaryGroup
DrawThemeSecondaryGroup
DrawThemeSeparator
DrawThemeWindowHeader
DrawThemeWindowListViewHeader
GetThemeAccentColors
GetThemeMenuBackgroundRegion
GetThemeMenuBarHeight
GetThemeMenuItemExtra
GetThemeMenuSeparatorHeight
GetThemeMenuTitleExtra
IsThemeInColor
RegisterAppearanceClient
SetThemeBackground
SetThemePen
SetThemeTextColor
SetThemeWindowBackground
UnregisterAppearanceClient