Yes, love exists.
There is the love of family and the love of friends. Then you have the "other" loves.
Other loves include:
Unconditional love: the no questions asked, completely accepted for who and what you are and is never ending.
Fun love is that brief interlude with someone that leaves a constant smile on your face and has you laughing all the time. This love comes and goes with anyone that you can have relationship with, be it family, friends, or romantic.
Forever love is what you find with that certain someone that no matter where your paths part or differ you find that no time has passed when they cross again.
Bad for you love is that one that gets you in trouble,makes you do stupid things, and is in no way beneficially to you as a person. But it delicious and naughty and provocative and it draws you in and makes you beg for more. Fortunately, most people quickly enter and exit this type of love.
Flash in the pan love is closely related to bad for you love but not as harmful. It hits suddenly, burns hot, and quickly fades leaving fond memories and maybe a few blushes.
Then there is Passionate love. This is the one that everyone should experience at least once in your life. Live it, breathe it, drink it, and surrender to it. When you find that one person that ignites a passion that lives inside both of you, that;s the one to keep for as long as it will stay. This is by far the strongest of loves to be found and encompasses all other types of romantic loves. Those who dive head first into a passionate love will live wonderfully fulfilled lives and never wonder what they are missing.