To Add: and, again, and then, besides, equally important, finally, further, furthermore, nor, too, next, lastly, what's more, moreover, in addition, first (second, etc.),
To Compare: whereas, but, yet, on the other hand, however, nevertheless, on the other hand, on the contrary, by comparison, where, compared to, up against, balanced against, vis a vis, but, although, conversely, meanwhile, after all, in contrast, although this may be true
To Prove: because, for, since, for the same reason, obviously, evidently, furthermore, moreover, besides, indeed, in fact, in addition, in any case, that is
To Show Exception: yet, still, however, nevertheless, in spite of, despite, of course, once in a while, sometimes
To Show Time: immediately, thereafter, soon, after a few hours, finally, then, later, previously, formerly, first (second, etc.), next, and then
To Repeat in brief, as I have said, as I have noted, as has been noted,
To Emphasize: definitely, extremely, obviously, in fact, indeed, in any case, absolutely, positively, naturally, surprisingly, always, forever, perennially, eternally, never, emphatically, unquestionably, without a doubt, certainly, undeniably, without reservation
To Show Sequence: first, second, third, and so forth. A, B, C, and so forth. next, then, following this, at this time, now, at this point, after, afterward, subsequently, finally, consequently, previously, before this, simultaneously, concurrently, thus, therefore, hence, next, and then, soon
To Give an Example: for example, for instance, in this case, in another case, on this occasion, in this situation, take the case of, to demonstrate, to illustrate, as an illustration, to illustrate
To Summarize or Conclude：in brief, on the whole, summing up, to conclude, in conclusion, as I have shown, as I have said, hence, therefore, accordingly, thus, as a result, consequently, on the whole