Here are the quests I'll work on next. However, most of them requires me to level at least a skill to a certain level and that cannot be avoided. So I'll look up guides for each of them and check what's the easiest method to get to that level from my current one.
Darkness of Hallowvale (5 Construction)
Eagle's Peak (27 Hunter)
Eyes of Glouphrie (5 Construction, 46 Magic)
The Fremennik Trials (25 Fletching)
King's Ransom (65 Defence)
Olaf's Quest (The Fremennik Trials)
Zogre Flesh Eater (30 Fletching)
Slug Menace (30 Runecrafting)
Spirits of the Elid (No reqs)
Tai Bwo Wanna Trio (No reqs)
Temple of Ikov (42 Thieving)
Tower of Life (10 Construction)