Are there any body who achieved Nibbana currently (in the current world)
The Pali scriptures describe 4 levels of enlightenment, which equate to 4 levels of Nibbana. 

The Nakhasikha Sutta states in the 1st level of enlightenment the vast majority of the previous suffering has been ended &amp; extinguished.  

Many Buddhist practitioners have tasted Nibbana (freedom from suffering). However, I suspect those that have reached the highest Nibbana are not many. 

In Thailand, monks would say Ajahn Maha Bua &amp; Ajahn Chah (both now deceased) reached the highest Nibbana. You can watch these videos:


Ajahn Chah - Bio 43 - Talking about enlightenment
Ajahn Chah - Bio 44 - How attained was Ajahn Chah?


I think Ajahn Brahm is close to the highest Nibbana. 

The Buddha said if people practise the 8 fold path in the right way, people will know Nibbana. 

This article, 'Nibbana for Everyone', may be helpful.