I would like to try TOI+ membership its kinda cheap i guess now summer sale is going on rightTimes of India site or app. TOI+ membership is a treat. It features important news stories from news services like New York Times.
The Indian Express is equally great. Specially their Political Pulse and Explained sections. It's free too.
Will try it outRather than following any particular news website, you should use a news aggregator service like Google News where you get the news served from variety of news publications.
On Google News, you can also tune your news feed by selecting topics, following publications etc. Similar news articles are grouped together for better insights on a single news topic. The content recommendations are served by an AI just like YouTube does.