Fronting the object for focus, by converting an SVO sentence into an OSV one, is a common enough syntactic pattern in English:
Submitting ungrammatical sentences is of no use here.Them we refuse to even consider.
If anything it would mark you as a native speaker, because native and non-native speakers alike are taught not to do it, but native speakers grow up hearing everyone else doing so, and ignore those teachers.
It's quite likely that the condemnation of starting with a conjunction is because some children have a habit of overusing such beginnings:
And then ...
This form (using a gerund, or noun phrase) hasn't been mentioned yet, and is grammatical albeit awkward:
Them being able to come up with such unusual sentences was a surprise to some but not to others.
(Note that "their" — and perhaps "they" too — is also acceptable as the first word, but by no means obligatory, and in fact less common.)
Playing off WS2's comments, there's this excerpt from Cakes and Ale: or, the Skeleton in the Cupboard, a 1930 novel by W. Somerset Maugham:
"Than Roy no one could show a more genuine cordiality to a fellow
novelist whose name was on everybody’s lips, but no one could more
genially turn a cold shoulder on him when idleness, failure or someone
The Oxford Dictionary of Quotations, third edition (1979), has a number of instances, as well.
Hans Christian Andersen, "The Emperor's New Clothes":
'But the Emperor has nothing on at all!' cried a little child.
Matthew Arnold, Culture and Anarchy (1869):
But that vast portion, lastly, of the working-class which, raw and half-developed, has long ...
The modern grammar requires that not must be contracted with the auxiliary verb in order to move from its normal position. If it is not contracted, it must stay in the same position it's in in a normal declarative sentence:
Tom does not like Sally (normal negative sentence)
Does Tom not like Sally (no contraction, not in normal declarative sentence position)...
Examples from Tolkien’s Legendarium
For my own demonstrative examples, I’ve chosen just one “great writer”, so that some measure of frequency of this phenomenon within a single writer’s works can be taken.
Across The Silmarillion, The Hobbit, and The Lord of the Rings, J.R.R. Tolkien began sentences with these seven (potential) conjunctions the ...
Them was Van Morrison's band in the 60's.
Them Again was the name of their second album.
Them In Reality was the name of their 1971 album.
At least four sentences on the linked wikipedia page meet your question.
Have you never seen a Western? Typical dialogue:
“Them there critters are mighty jumpy tonight”
And here is a real example from The Legend of Barry Claw
“Them there Injuns sure won’t never forgets…”
Starting a sentence with as is not a problem, and never was. The Corpus of Contemporary American English has 150000+ cites for sentences starting with as, across all registers and contexts, including academic writing. Your boss is completely alone in this.
However, what your boss might actually be objecting to is the so-called dangling modifier. ...
Perhaps he's heard of the King James Bible? It may be hard to read now but it's been called one of the greatest works of the English language. I recommend starting on the first page:
In the beginning God created the heaven and the earth. And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon ...
Yore means of long ago, or former times, but it seems only ever to be used in the phrase In days of yore. Are there any other uses of this word?
Come to that, it would be hard to begin a sentence with Ago.
Justin Greer has already given an excellent answer, but it’s worth looking at why some examples of this seem more marked/forced, while others (like W2’s comment on the question) seem rather more plausible.
The most obvious way to get than at the start of a full declarative sentence is to use a “PP-fronting” construction, i.e. putting the prepositional ...
Some languages are subject-drop languages, but English is considered a subject-obligatory language. The sentence as it stands is non standard. It's the type of telegraphic language you might see in a text message.
It's perfectly OK to begin a sentence with a conjunction. Just don't do it over. And over. And over. (Except for rhetorical or narrative effect. Or in translating the Hebrew Bible.)
Never put a comma after a conjunction: a comma is a “disjunction”, and defeats the purpose of the conjunction. I grant that you will find some authorities conceding that the ...
Bob's fat is so much more adorable than everybody else's, Mary said.
-Than everybody else's? You can't be serious.
'I'm very serious. Even more adorable than a- a- a-', halted Mary.
-'Than a what?'
'Than a blue whale on a trapeze.'
The problem is not that you used due to at the beginning of a sentence. The problem is that due to must be followed by a nominal phrase, since to is a preposition and prepositions are (almost) always followed by nominal phrases. For this reason, you need to use a verbal noun or a gerund after to:
Due to having less features than an actual standard system, ...
Perhaps use the indefinite article "a" sometimes instead? Or refer to things in general (or plural) or as mass nouns, so you avoid articles (see the first point here, and see this guide to how you can use nouns without articles).
The main purpose of the presented applications is to visualize roses
in space. A user can run around and experience the roses ...
There is a style of English speaking which drops subject pronouns, which I associate (perhaps wrongly) with Colonel Blimp-type figures. Something like:
Went up to town this morning. Met Caruthers at the club. Just got back from Africa. Ate a well lubricated lunch together for old times' sake. Am now coming home by train.
It is not standard English, ...
Starting a sentence with a word ending in -ing is perfectly ordinary, accepted, unremarkable English. Beginning, middle, or end of a paragraph; gerund, participle, or simply a word with that particular spelling— it does not matter. Living in an English-speaking environment, you would quickly realize that there is no proscription against it, as it is natural ...
I believe "Does not Tom like Sally" was actually a correct usage, though it is now uncommon/archaic except in the "Doesn't..." form. (I still hear "Does not..." occasionally when folks are attempting to be Extremely Formal, but that may be a back-formation.)
For a sentence, only capitalise the first word:
Risk/issue management is important because it will help you highlight ...
For a title, capitalise all words as usual:
Alternatively reword to remove the slash:
Risk and Issue Management
Risk and issue management is important because it will help you highlight ...
But at the beginning of a sentence is fine, and in most contexts is more natural in spoken English than though (which is a different word from thought, by the way) or however.
There used to be some teachers who had a mad idea that there was something wrong with this, but they've mostly gone now.
Pluralize, with discretion.
The main purpose of the presented applications is to visualize roses in space. Users can run around and experience the roses from different angles. Positions of the roses can be stored in the ROS-fileformat.
Here's a question that the Google NGram Viewer can actually help with. Look at the values on the Y axis. The usage of "Due to" at the beginning of a sentence has reached 0.0008% in 2008. That may not sound like much, but it represents orders of magnitude more frequency than most of the NGrams offered as proof on this SE site.
Only the severest and most ...