Here is an image I found that nicely shows what quests you can do to get to Level 61.
The following image was obtained from Reddit, in particular, this post.
I do not claim credits for it.
Click on the image to view the full enlarged version
Tip: Get the Chenga Tome for Combat EXP Gain +30%. “Chenga – Sherekhan Tome of Wisdom” can be acquired by completing the suggested quest “[Lv.53] The Adventurer’s Tome regarding the legend of Chenga”.)