Or / for example
Offering choices and examples instead of one definite thing.
-ka
or
か
A ka B offers a choice between nouns or clauses; B can take a second ka. Clause + ka dou ka = 'whether or not' ('kuru ka dou ka wakannai').
ashita ka asatte, hima?
Are you free tomorrow or the day after?
明日か明後日、暇？
ashita ka asatte, jikan arimasu ka?
Do you have time tomorrow or the day after?
明日か明後日、時間ありますか？
To offer the second option as its own question, use soretomo ('kotchi? soretomo atchi?').
-toka
things like; or something
とか
Names examples without a full list ('A toka B toka'), or hedges one item so it sounds less blunt ('eiga toka'). '...toka itteta' = 'said something like'.
eiga toka mitai na.
I'd like to see a movie or something.
映画とか見たいな。
eiga toka mitai desu ne.
I'd like to see a movie or something.
映画とか見たいですね。
In careful speech nado replaces a listing toka ('eiga nado'); the hedging toka can sound vague or young there.
Learn alongside: -tari ... -tari suru
tatoeba
for example
例えば たとえば
Introduces an example or a hypothetical; also buys a second to think.
tatoeba, kore wa dou?
How about this one, for example?
例えば、これはどう？
tatoeba, kore wa dou desu ka?
How about this one, for example?
例えば、これはどうですか？
-tari ... -tari suru
polite -tari ... -tari shimasudoing things like ... and ...
たり…たりする たり…たりします
Lists sample actions without claiming the list is complete; built on the -ta form and closed with suru ('mitari, kaimono shitari suru'). A single -tari softens an invitation or plan ('gohan tabetari shinai?'); casually the closing suru is sometimes dropped.
eiga mitari, kaimono shitari shitai.
I want to see a movie, go shopping, that kind of thing.
映画見たり、買い物したりしたい。
eiga o mitari, kaimono o shitari shitai desu.
I'd like to see a movie, do some shopping, things like that.
映画を見たり、買い物をしたりしたいです。
The last -tari normally takes suru (shita, shitai, shiteru); one -tari alone is common too ('eiga mitari shitai'). Verbs whose -ta is -da give -dari (nondari, asondari). Don't mix it up with -tara.