Other artists that hit #1 with their first two charted songs:
Jackson 5 - I Want You Back, ABC (1970)
Andy Gibb - I Just Want To Be Your Everything, (Love Is) Thicker Than Water (1977-1978)
Men At Work - Who Can It Be Now?, Down Under (1982-1983)
Lionel Richie - Endless Love, Truly (1982-1983)
Peter Cetera - Glory of Love, The Next Time I Fall (1986)
Tiffany - I Think We're Alone Now, Could've Been (1987-1988)
Rick Astley - Never Gonna Give You Up

, Together Forever (1988)
Wilson Phillips - Hold On, Release Me (1990)
Mariah Carey - Vision of Love, Love Takes Time (1990)
Puff Daddy (as lead artist) - Can't Nobody Hold Me Down, I'll Be Missing You (1998)
Christina Aguilera - Genie In A Bottle, What A Girl Wants (1999-2000)
Ashanti - Always On Time, Foolish (2002)
Beyoncé (as lead artist) - Crazy In Love, Baby Boy (2003)
Lady Gaga - Just Dance, Poker Face (2009)
Ke$ha - Right Round

, TiK ToK (2009-2010)
Bruno Mars (as lead artist) - Just The Way You Are, Grenade (2010-2011)