These are some of my favorite customizable WordPress themes.
A simple and clean WordPress free blog and magazine style theme with many customization options. This theme is specially design for blogger, onine news/magazine website with widgetize homepage, cusomizer settings, and multiple tabs options for widget, SEO Friendly, UI/UX optimzed theme without any cost. This theme is mainly applicable for magazine and blogs.
Blog New is the Child Theme of Gist. This theme is best ever crafted free WordPress theme for Blog, news and Magazine. It is a simple, easy to use, modern and creative, user friendly WordPress theme with typography, fonts and color options. In addition Gist Gird is responsive, cross browser compatible and child theme ready. Gist comes with added custom widgets for social and author, sticky sidebar options, footer widget, sidebar options, meta option, copyright option, social options etc.
Bunny Press Lite
A light version of the WordPress template “BunnyPress” created by Yossy’s web service (Japanese). Responsive, mobile-first, structured markup. I was able to play with the design from the theme customizer to some extent.
Book Rev Lite
Book Rev Lite is a free book review WordPress Theme. The responsive, clean and modern design includes tools for presenting your books/products in a beautiful way, you can easily add adsense ads, google fonts, custom colors, slider support and the pro version has also ecommerce ( Woocommerce ) integration. Works great for product review and amazon affiliate sites.