Indore is the best place to visit if you are a Foodie…
Best place for food is late nights food stalls at sarafa bazaar

And the 2nd food place is 56 Dukaan

Next You can visit is Rajwada, Heart of Indore , 7 Storied palace built by HOLKARS. It has got traditional architecture and few temples inside. There are also many Bazaars around Rajwada where you can go for shopping.

Near Rajwada is Krishnapura Chhatris at a distance of less than half KM which is again a built up of holkars.

Next you can visit kanch Mandir, a jain temple made up of glass and mirrors

Next you can visit Laal bagh palace, which was built by Maharaja Shivaji Rao Holkar in the European style between 1886 and 1921.

Next you Shall visit Bada Ganpati Mandir, The Bada Ganapati Temple, built in 1875, consists of one of the largest Ganesha idols in the world - an eight-metre-tall

There is also a central museum in Indore

Then there is a Pipliyapala Regional park developed by Indore Municipal

Next you should visit Khajrana Ganesh Mandir build on a very large area

Apart from these places in indore there are also many near around falls and lakes at a distance of 20–30 km from indore:
Sitlamata Fall:

Patalpani Fall:

Bhamaniya Kund:

Janapav Kuti:

Choral :

Hanumantiya Tapu:

Though the falls are almost waterless in summers.