broadly
1. generally (In general terms) ex. Broadly speaking...
2. mostly (for the most part) ex. it is broadly based on the german prototype
Deutsch: ganz allgemein, in groben Zügen
categorically
1. without any doubt or possibility of being changed
2. certain
Deutsch: definitiv/endgültig/kategorisch
considerably
large or of noticeable number
ex. He's considerably fatter, than he was two years ago
Deutsch: erheblich
effectively
used when you describe what the real result of a situation is
ex. His wife left him when the children were small, so he effectively brought up the family himself.
Deutsch: eigentlich/tatsächlich
extensively
describes e large part of something
ex. The house was extensively rebuilt after the fire
Deutsch: weitgehend
invariably
always
ex. The train is invariably late
Deutsch: ausnahmslos
largely
almost completely
ex. a largely male company
Deutsch: weitgehend/grösstenteils
literally
1. intensifier before a figurative expression
ex. Our eyey were literally pinned to TV during the war
2. Having the real or original meaning of a word/phrase
ex. They were responsible for literally thousands of deaths
Deutsch: (wort)wörtlich