Let's do this in order of ease
At time of posting, I could find no spells that demand a creature type of "monstrosity"
Moving on
Oozes
Works(Super Effective!)
- Sunbeam (6th level)
- Sunburst (8th level)
Constructs
Works
Doesn't
- Abi-Dalzim’s Horrid Wilting (8th level)
- Antilife Shell (5th level)
- Blight (4th level)
- Cure Wounds (1st level)
- Heal (6th level)
- Healing Word (1st level)
- Mass Cure Wounds (5th level)
- Mass Heal (9th level)
- Mass Healing Word (3rd level)
- Phantasmal Force (2nd level)
- Power Word Heal (9th level)
- Prayer of Healing (2nd level)
- Spare the Dying (cantrip)
Humanoid
I'm sure there are many posts about humanoid typing, especially for when centaur came out. I'm making another.
Required(Works)
- Animate Dead (3rd level)
- Calm Emotions (2nd level)
- Charm Person (1st level)
- Create Undead (3rd level)
- Crown of Madness (2nd level)
- Dominate Person (5th level)
- Hold Person (2nd level)
- Magic Jar (6th level)
- Reincarnate (5th level)
- Simulacrum (7th level)
Yes, Simulacrum can be used to target beasts as well, but as we're looking at how spells will effect these new races, it's human required.