How can i make a Slide Show for my Home Page with the following requirements How can I make a Slide Show for my Home Page with the following requirements:


The image would link to any content
The caption would be different for all images of the slide show
The slide show would be responsive 
The images can be added, deleted from the CMS itself by the client/admin
Navigation controllers
Place a link "Sign Up" on top of the slide show which takes the user to the  sign up page


I tried with Views Nivo slider but it has open issues regarding rewrite results. Are there any other modules? Views slideshow is one but I am not able to configure it as per my exact requirement.
Views slideshow has solutions to be responsive, see:
http://drupal.org/node/1510526

You can also embed a custom slideshow navigation using views and a global counter in the view, using Tokens you can replace the counter text with whatever you want. An example of this can be found here:
http://blog.urbaninsight.com/2012/01/03/building-slideshows-with-navigation-based-views

All of your criteria are met by Views Slideshow I believe, you just have to get crazy with CSS. I have made the following slideshow with Views Slideshow using the navigation tutorial above, Views, Views Slideshow and Nodequeue.

example view slideshow config


default rendering of ViewsSlideshow in Admin area, an un-themed slideshow


Final themed slideshow with custom navigation


In my case I overlay the navigation into the view, I had to use jQuery to achieve some of the dimensions at runtime and CSS3 stuff for opacity of my overlay div.