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To add information:
and, not only…but also, also, moreover, furthermore, in addition, again, besides, equally important, what’s more, too

To give examples:
for example, for instance, specifically, in particular

To show contrast:
but, however, on the other hand, otherwise, instead, in contrast

To show concession:
yet, nevertheless, however, although, even though, despite the fact that, despite

To show similarity:
likewise, similarly, in the same way

To show result:
so, as a result, therefore, thus, as a consequence, consequently

To indicate time or sequence:
first, second, finally, meanwhile, immediately, thereafter, soon, finally, previously, formerly, next, following this, after, soon, therefore

To offer conditional thoughts:
or, whether…or, if…then

To explain or emphasize:
in fact, actually, in other words, namely, obviously, in any case, naturally, certainly, unquestionably

To offer alternatives:
or, either…or, neither…nor

To compare:
on the other hand, on the contrary, by comparison, compared to, balanced against,
vis-à-vis, although, in contrast

To prove:
because, for, for the same reason, obviously, evidently, in fact, in any case

To conclude:
in conclusion, in brief, on the whole, to conclude, as I have shown

Others that should be avoided:
in all honesty
to tell the truth
to put it briefly,
be that as it may
last but not least
to get back to the point
to make a long story short.