This thread is regarding myths about Meghnad/Indrajit's battle skills and the way he is often described as better than Lakshmana and Bhagwan Ram. I'll be citing Bibek Debroy and Valmiki Ramayana by Gita Press only.

#Ramayan

First, let's check Gita Press Ramayan.

1. Indrajit is outright defeated by Angad.
2. Indrajit considered himself beaten
3. He bound Shri Ram and Lakshman by arrows by deceit
4. Outright said that this was by deceit

1&2. Again fights the vanar army by deceit
3&4. Shri Ram and Lakshman were defeated by their own consent to not deny Brahma's boon (Indrajit is also hidden by the same boon)

Continued:
1.Its by their own choice
2&3. Vibhisan says the same

1. When next time he went to fight, he did a special yagya and got an invisible chariot
2. Got the power of teleportation by the yagya
3. Again started the fight after being invisible
4. Fought while being invisible

1. Both Shri Ram and Lakshman baffled arrows which were shot by invisible Indrajit
2. Again the same
3. Lakshman asked to shot brahmastra but Shri Ram denied
4. Indrajit fled (like another famed "anti hero") when he found about Shri Ram using divyastras