So which one is the Bible talking about?

According to Wikipedia A kiss is a touch with the lips, usually to express love or affection, or as part of a greeting. So when the Bible talks about greeting one another with a holy kiss as rendered in Romans 16:16 and other similar verses in the Bible, it talks about using the lips to greet one another in a manner that is devoid of any sexual motive. The adjective 'holy' used is even suggestive of the fact that even at that time there was the tendency to abuse a kiss into something far from Holy.

Are Holy kisses possible in our day and age?

I remember when I went for missions in Swaziland, I was shown a national calender which had the king's daughter's breast totally exposed. I remember our host telling me and my wife that, he believed that a girl wearing a swim suit at a beach was technically more naked than the king's daughter. Culture plays a big role in our perception. I know that in America and now in Nigeria when the word 'bomb' is mentioned, people will run for their dear lives but I recall in Ghana years ago rather set off from their homes to go and 'watch a bomb'. How amazing! So in a country where all the kissing we have seen is passionate romantic kissing in telenovelas and movies, we could have a bomb scare when we try to liberalize a free range kissing greeting. That is my opinion anyway especially when I see how some people have misused hugging in the body of Christ.

Kissing is wrong because....

The kissing I am talking about here is French kissing which is lip to lip and passionate in expression(like eyes closed). That one cannot be said to be done without lusting. The official kiss on cheek and and hand can be innocent depending once again on motive. Motive is everything and that is what Jesus declared in Matthew 5:28. He said when we see and desire, sin is already committed...really? Yes! I always ask those who argue about by asking if you can French kiss your sister or brother and feel good about it then you have the license to go on a kissing spree to anyone you meet. In Christ, we are all brothers and sisters and that is how we are to treat each other and nothing else. 1 Timothy 5:1,2

What do I do to stop this urge?

Lust is definitely a culprit in this. Lust is simply evil desire. The opposite of evil desire is good desire which is defined as love. Love proceeds from a relationship with God and its consequent expression of that love for everyone including those friends of the opposite sex we care so much about. Love is a fruit (evidence) of the Holy Spirit's work inside us. We can never love with our flesh. An investment of our time to know God in His word daily mixed with a quest to chase after His righteousness perfects us in the process. Don't give up, you can win....mwaa!(the holy type)