ADDITION To add an idea
Additionally, and, also, apart from this, as well (as), in addition, moreover, further, furthermore.
CONDITION to provide a condition
If, in that case, provided that, unless.
FOR COMPARISON To show how things are similar
Correspondingly, equally, for the same reason, in a similar manner, in comparison, in the same way, on the one hand, similarly.
FOR CONTRAST To show how things are different
Alternatively, although, but, conversely, despite, even so, even though, however, in contrast, in spite of, instead, on the contrary, contrary to, nevertheless, nonetheless, notwithstanding, on the other hand, rather, still, though, yet, whereas, while.
FOR EMPHASIS To put forward an idea more forcefully
Again, in fact, interestingly, indeed, it should be noted (that), more important(ly), most importantly, to repeat, (un)fortunately, unquestionably.
FOR ILLUSTRATION To provide examples
A further instance of this is..., an example of this is…, for example, for instance, such as, thus, as follows.
FOR RESTATEMENT For rephrasing statements
In other words, more simply, namely, simply put, to put it differently / another way, such as, that is.
THE CAUSE OF THINGS To attribute the reasons for something occurring
A / the consequence of, because, due to, for, the effect of …, since, the result of …
THE EFFECT OF THINGS To show the effect of something
Accordingly, as a result/consequence, consequently, for this reason, hence, so, therefore, thus.
FOR CONCESSION / QUALIFICATION Conceding something
Admittedly, although, clearly though, even though, however, indeed, obviously.