Go on a bike trip from Rishikesh or Delhi to Kedarnath. Take the trip along the Alaknanda river and u will have exquisite view all along and will get see all the three Prayags which eventually form the Ganga river. It will give you clear green waters and white sand beaches. The roads are superb and there are many lovely places to stay all along the way. Feb and March is the best time to visit. After that the Char Dham Yatra begins which makes this place a bit crowded.
India is majorly divided into 4-5 parts from travelling point of view.
1. Mountains reason : you can explore a whole different type of mountains in north part of India as you move from Uttarakhand to Himachal Pradesh to Jammu and Kashmir. You can visit these places either in Summer or Winter, I would not recommend rainy season because of land slides. You could explore trekking, waterfalls, Forest, Camping, Adventurous sports etc 2. North East : North east combines the seven states(Sikkim, Assam, Meghalaya, Arunachal Pradesh, Nagaland, Tripura and Manipur). you could explore a variety of Forest, waterfall, trekking, camping etc. Meghalaya is hosting spring festival in case if you are planning to visit in Spring season. you can I visit some part of West bengal like, Darjeeling , Sundarban etc
3. Western Ghat : This is must visit place especially in rainy season. I would recommend take a road trip to western ghat . you will explore varieties of beaches, waterfalls and forest.
4. Desert : explore the Rajasthan in the month of October and November. A variety of forts, architectural building and desert safari in Jaisalmer.
5. Spiritual places : India is definitely a rich place in terms of Spiritual things. variety of temples are build way back in every part of India. try visiting "twelve jyothirlinga" if you are a Shiva devotee.
and many more places to visit in India , it's really hard for anyone to summarise them at one go.
I see that you are from delhi and if not yet done with Leh Ladakh then nothing else could be better than that, It’s the riding season few days ahead.
Can go to the mystique north east if you feel ladakh is not the choice.
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Distance- 600km Happy Travelling!!