Now, i have to admit i l’amour both series! I'd say harry potter is unisex and appropriate for all ages, whilst twilight adresses mainly to teenage girls. HP talks about friendship and love, while twilight is plus romantic! Also, hp gives lessons of life, although maybe in some cases, i would prefer lire twilight.
Finally, They are both written par two very talented and imaginative writers, j.k rowling and stephenie meyer. They wrote these livres to give teens (and not only) inspiration and time of happiness. So, if toi don't like one of these two series, don't blame them! We can't all have the same tastes!