There are tons and tons of English books!
So let's narrow down your search a bit. For a love story, do you want to read something which takes place in the present time or the past? Do you mind sex scenes? Do you only want to see heterosexual romance, or are you interested in seeing more variety? Love stories include Love Story
by Erich Segal but also 50 Shades of Grey
by EL James (by the way, 50 Shades
has a lot of other problems including a very bad depiction of a BDSM relationship).
For adventure stories, do you want present day, past, or future? Do you want it to be a story where the heroes win, or are you open to something where the bad guys win or maybe it's not so clear? Adventure can encompass all sorts of scenarios, including westerns, stories about pirates, science fiction, etc. Adventure stories include Treasure Island
by Robert Louis Stevenson and A Wrinkle in Time
by Ursula K. Le Guin.
Fantasy is also divided into high fantasy and low fantasy. High fantasy is stories set in their own separate world. Low fantasy is when magical events intrude on the real world (in an urban setting, that's usually called urban fantasy). The Hobbit
by JRR Tolkein is high fantasy. Moon Called
by Patricia Briggs is low fantasy (it's actually urban fantasy). JK Rowling's Harry Potter books kind of straddle the line between high and low fantasy.