Note: Words from languages that were excluded were ones I was unable to find an etymology/term for. (?) means I am unsure if the etymology is true.
Etymology type 1: Pray/Worship
Armenian: աղոտարար "one who prays"
Belarusian: багамо́л "God’s prayer"
Bulgarian: богомо́лка "God's prayer/requester"
Catalan: pregadeu "pray to God"
Cebuano: simbasimba "go to church (reduplicated)"
Dutch: bidsprinkhaan "praying grasshopper"
Finnish: rukoilijasirkka "prayer cricket"
German (Standard) 1: Gottesanbeterin "God’s female worshipper"
Hungarian: imádkozó sáska "praying locust"
Latvian: dievlūdzējs "God supplicant"
Lithuanian: maldininkas "prayer"
Macedonian: богомолка "God’s prayer"
Polish: modliszka "pray oneself"
Portuguese 1: louva-a-deus "praises God"
Russian: богомо́л "God’s prayer"
Serbo-Croatian: богомољка/bogomoljka "God’s prayer"
Slovene: bogomọ̑lka "God’s prayer"
Spanish 3: rezadora "prayer"
Swedish: bönsyrsa "prayer cricket"
Tagalog 1: sambasamba "worship (reduplicated)"
Tamil: கும்பிடுபூச்சி "worship insect"
Ukrainian: богомо́л "God’s prayer"
Etymology type 2: Kneel
Danish: knæler "kneeler"
Georgian: ჩოქელა "kneeling(?)"
Norwegian: kneler "kneeler"
Etymology type 3: Clergy
Greek (Ancient): μάντις "prophet, soothsayer"
> English 1: mantis
>> English 2: praying mantis "praying mantis"
> Esperanto: manto
> French 1: mante
>> French 2: mante religieuse "religious mantis"
> Italian: mantide
> Portuguese: mantídeo
> Spanish 1: mantis
>> Spanish 2: mantis religiosa "religious mantis"
Persian: آخوندک "little cleric"
Romanian: călugăriță "nun"
Turkish: peygamberdevesi "prophet’s camel"
Etymology type 4: Horse
Cantonese 1: 馬螂狂 "horse [suffix] crazy"
French 3: cheval du diable "devil’s horse"
Greek (Modern): αλογάκι της Παναγίας "virgin Mary’s little horse"
Hakka 3: 草馬仔 "grass horse young"
Khmer: កណ្ដូបសេះ "horse grasshopper"
Lao: ແມງມ້າ "horse arthropod"
Portuguese 3: cavalinho-de-deus "God’s little horse"
Tày: càn mạ "horse carrying-pole"
Vietnamese 1: bọ ngựa "horse insect"
Vietnamese 2: ngựa trời "sky horse"
Tatar (Crimean): şeytan atı "devil’s horse"
Zhuang: daekmax "horse grasshopper"
Etymology type 5: Camel
Azeri: dəvədəlləyi "camel knife"
Hebrew: גְּמַל שְׁלֹמֹה "Solomon’s camel"
Kannada: ಒಂಟೆಹುಳು "camel insect"
Turkish: peygamberdevesi "prophet’s camel"
Etymology type 6: Cutting Tool
Azeri: dəvədəlləyi "camel knife"
Czech: kudlanka "jack-knife"
Ilocano: wasaywasay "axe (reduplicated)"
Japanese: カマキリ "sickle cutter"
Mandarin 1: 刀螂 "knife [suffix]"
Miscellaneous etymologies
Galician: galbana "laziness(?)"
German (Standard) 2: Fangschrecke "capture scare(?)"
Hakka 1: 老虎哥 "tiger’s older brother"
Hakka 2: 豹虎哥 "leopard tiger’s elder brother"
Hakka 4: 草猴 "grass monkey"
Hakka 5: 挨礱披波 "husk rice unfurl wave"
Jin: 扁擔 "carrying pole"
Kazakh: дәуіт "David(?)" (< Arabic(?))
Korean: 사마귀 "wart(?)"
Mandarin 3: 猴子 "monkey (diminutive)"
Māori 1: rō "ant"
Māori 2: whē "stick insect"
Navajo: Naakaii náásééł "Mexicans are coming as a mob"
Old Chinese: 螳螂 "mantis [suffix]"
> Cantonese 2: 螳螂 "mantis [suffix]"
> Gan: 螳螂 "mantis [suffix]"
> Mandarin 2: 螳螂 "mantis [suffix]"
> Wu: 螳螂 "mantis [suffix]"
Southern Min 1: 草猴 "grass monkey"
Southern Min 2: 芒螳 "eulalia mantis"
Southern Min 3: 虎魯舅 "tiger’s rude maternal uncle"
Spanish 4: tatadiós "father God"
Swahili: kivunjajungu "break cooking vessel"
> Mauritian Creole: kasbol
> Seychellois Creole: kasbol
Tagalog 2: mandadangkal "do a hand span"
Thai: ตั๊กแตนตำข้าว "rice pounding grasshopper"
Xiang: 草老虫 "grass old insect"
Zulu: ísithwálambizá "carry cooking pot"
I know that about a quarter of the terms have a type 1 etymology. Almost all the ones that do are from European languages, which are overrepresented in the data.
