If you are a WordPress fanatic like me you will know that WP is pretty good for Search engine optimization right out the box. This is because it actually allows your site to be crawled by search bots allows all the major search engines like Google, Bing and Yahoo to index your content.
The head of Google spam team gave WordPress the thumbs up as it allows for easy indexing.
Okay, now you know how good WP is out the box and now I will suggest a few themes SEO friendly which turns WP from good to great. The reasons for this is that most the themes recommended below are optimize for speed which help you rank higher, some of them even have built in meta information. This is good because it eliminate the need to install other SEO plugins like the WordPress SEO Plugin which is great but slows down your site.
In no particular order some of the best search friendly themes to help you rank higher:
Simple minimalist theme responsive and free to download at wordpress.org. This theme is a great entry level to enhance your search presence.
Blix WordPress Theme
A very function template with loads of features built in like meta description and a review feature. This this is an updated version of the popular free retired blix theme.
Schema WordPress Theme
A simple but effective theme form mythemeshop, Schema feature rich snippets with allows you to show things like star rating in Google and more. Like all the themes mentioned here this theme is also responsive.