Hello there here I am listing some of the exam for eng .with their expected exam dates and last date to apply for the respective exams

JEE Main Paper 1

2nd week of Jan 2020    Last week of September 2019

JEE Main Paper 2

2nd week of April 2020    Last week of Feb 2020

JEE Advanced    3rd week of May 2020    2nd week of May 2020

BITSAT    3rd to last week of May 2020    2nd week of March 2020

KVPY    1st week of November 2020    1st week of September 2020

KCET    3rd Week of April 2020    4th Week of February 2020

MHTCET    2nd Week of May 2020    4th Week of March 2020

VITEEE    2nd Week till 4th Week of April 2020    Last Week of March 2020

SRMEEE    3rd week- 4th week of April 2020    1st week of March 2020

COMED-K    2nd week of May 2020    3rd week of April 2020

IPU-CET    3rd week of April 2020    2nd week of April 2020

WBJEE    19th April 2020    1st week of January 2020

UPSEE    Last Week of April 2020    Last Week of March 2020

PTU-CET    May 2020    May 2020

Also I am attaching a link please go through it.you will get an overview in details

https://engineering.careers360.com/exams

Feel free to ask me in the comment box if you are having any further doubts

hope you find it helpful

Good Luck!