Some names in this quiz are as unique or even more so then the Uma Musume girls. 

Hint: Possibly the easiest question. This is the anime with the most of these names so naturally it is the first question. 

Easy start. What's the anime for these?: Obey Your Master, Jungle Pocket, Rice Shower, Manhattan Cafe

The Eminence in Shadow.  Tons of pun names. A more memorable one is antagonist Count Perv. 

Hint: A antagonist has a perverted name too. 

What's the anime for these: Immatry Notoloss , Nextin Line, Styl Aynthapnin , Mundane Mann

Oh and all fans know there is truly only one ORDINARY person in MHA heh. 

Hint: only thing to say is to think about why i picked this specific image. 

What's the anime for these?: Godzillo, Fat Gum, Toy-Toy, Can't Stop Twinkling 

Figured using a book like that as a cute reference to Lucy being a novelist, the name and how one ED was a book. 

Hint: This is quite a tale. 

What's the anime for these: Hughes, Blue note, Warcry , Rusty Rose

Bofuri. Our MC is both a wholesome loveable cinnamonroll and a monstrous walking fortress of destruction. 

Hint: The names + image make it so obvious to those that know, that I might as well have just put in a anime screenshot. 

What's the anime for these?: Mii, Syrup, Misery, Payne. 

The question title was so obvious I could not think of a better hint. xD Other then just saying "Bone Daddy anime" 

Hint: Polluted Post-apocolypse? Escape into MMO VR. 

What's the anime for these?:  Touch Me , Blue Planet, Luci★Fer , Variable Talisman 

classic gender-swap anime, fun concept that it's triggered through water. 

This one feels like a freebie. It's a classic that got reanimated.

What's the anime for these?: The Blue Thunder, The Black Rose , Pantyhose Taro, Kettle Girl 

Issei's Dress Break is so iconic that I was really tempted to use a image with more costume destruction. xD  

This question is all nicknames. 

What's the anime for these?: Ruin Princess, Oppai Dragon, Vestal of Thunder, Cardboard Box Vampire 

Yes the actual anime has "Chillin" in it's title without the last letter. It also has a few different translations. 

Hint: There is no G in the name.  You do not need to type the entire name though you can. 

What's the anime for these?: Hiya, Gold Hero, Dark One, Silent Ear 

Name's self-explanatory. Was tempted to find a heartshaped doughnut pics to make it more obvious, decided not to. Yes that's that season's iconic snack.

Hint: It has one of the shortest precure names and one of best villains. 

What's the anime for these?: Tarte, Chiffon, Love, Passion

A anime where the love of a kink grants heroes and villains powers. The addiction for the twintail hair style is the strongest. 

Konosuba's cast would be scary powerful here with their unique quirks, especially a certain one. 

What's the anime for these:  Solar, Strawberry twin, Dark Glassper , Mega Neptune MK II 

Very strange fun anime. Gundams, cyborgs, vampires, angels, devils and so on. The animation also will change at times. 

Emphasis on names is important for some in this anime.

What's the anime for these?:  Frankram Stein, Midnight Blue Vampire, Falce Variable Wand , SAkuMA EitaROU

The image reference is a bad pun. stock image I edited to have crosses and wrote "ex" over and over. Since the game the MC played was called "Exgate online" 

It's not Fairy Tail, that was already a question. 

What's the anime for these?: Aries, Libra, Scorpio, Sflau

Hint: These are the names they gave their in-game characters. 

What's the anime for these?: One Autumn Leaf, Steamed Bun Invasion, Dancing Rain, Gentle Mist 

The MC actually made a hot spring resort run by actual bunny-ear girls who wear playboy bunny costumes yet doesn't feel very lewd. 

Yeah it's a Isekai, MC is quite the businessman. 

What's the anime for these?: Killer Queen, Friedprawn Friedbutter, Angel White, Princess Cake 

Warning: Due to some of the bizare/unique and cringy names, some animes in this quiz are not as iconic as others. Good to test your niche knowledge. 
The images do give minor hints, though the pictures themselves do not directly come from their anime. 
If the title was not obvious enough, I am not using the names of any powers, and no attack names either.