My favorite fishes lately this time around are reef safe wrasses.
I have 5 different ones. They are completely safe to corals. Not safe for any snails, crabs, or most shrimp. They are questionable with clams. No interest in the harming clams themselves. But if you have any pests in, under or near clams, some wrasses may irritate clams by picking the "bugs" in around the mantle etc... They are great for SPS keeping them free of bugs. Pretty harmless to lps or softies too. I see you have 1 wrasse. It's nice! There are some others you could get as well. Just research before you buy. Some mix well in the appropriate tank. Some may fight. The wide variety of color with different wrasse species make them very popular. Cover the tank though with a breathable cover. to prevent jumping.
Tangs, (the Tomini is great). You could try a Yellow, Sailfin, Kole, or perhaps a Chevron as a second Tang. There are other small Tangs not as easy to always find too. Or even a Purple Tang if you can acquire one and don't mind the current Max of $200. price tag. (ARC has 1 right now) I'd just have 2 Tangs total though. (3 possible- but pushing it) Absolutely AVOID any of the even Larger growing Tangs as they will need a bigger Aquarium than 120. (You don't want the excessive aggression and destruction from overcrowding) No larger Ancanthurus species. Unless you you go 180/225 or larger.
The other fish you have are great! Chromis are good. I reccommend a Midas Blenny too- awesome fish! (one).
Perhaps a single Anthias specimen would be a nice colorful addition too.
Lyretail are great. A bartlett would be my favorite. Wait and add last IMO to tank of healthy eating fish. (Sometimes challenging to feed at first)
If your intersted in reef safe triggers- first off there are a few safe to corals.
Most would not be safe to other inverts/Shrimps. (Snacks)
Pink Tail Trigger, Blue Chin Trigger, Niger Trigger- 3 good ones. ONLY have 1.
(Unless you opt for a mated pair)
Dwarf Angels are nice- BUT I'd avoid most of them if not all with the LPS. Some people do get lucky and have individuals who don't touch anything. But most seem tempted by soft looking body parts of Beautiful LPS- especially Brains! Which is NO good... The only I've seen trustable totally (still not gaurantee really) are Planktonic feeding Angels like Genecanthus species and other similar ones. I have a female that touches nothing except fish food.
(Even some peoples favorites like dwarf Flame and Coral Beauty Angels tend to be nippy on some stuff) It's dealable with SPS or Softies. But not good for LPS at all.)
Most Butterflies are not good for reefs. Although, I and many hobbyists love the Copperband, especially for SPS tanks- it's great. Sometimes long nose is good too. But with your LPS avoid it! It also does not mix well with clams.
Hope suggestions are helpful. Look some up, research and enjoy Pics!