Angel/Dust Neo, Aa! Megami-sama! Recommendations
Similar starting premises to both manga. Guy makes a wish and a goddess(es)/angels descends from heaven/future to grant it, create a contract & ends up living with him (Keiichi/Akito). There's a goddess/angel that's his true love who's demure (Belldandy/Marino), and a punchy pint sized one who's out to break up the relationship (Skuld/Muusha). There's also an older sassy sister (Urd/Akito's sister) and a competitive contractor (Peorth/Leia). The 'heavenly' magic is described as programming. AMG is a very long series, while ADN is a single volume.