ALREADY :

'Already' is used to say that something has happened earlier than expected or earlier than it might have happened.

ex. We’ve already eaten pizza three times this week!

* Commonly used with the present perfect tense!

STILL :

'Still' is used to refer to continuing situations.

ex.  They've been married for 40 years and they still love each other.

* Commonly used with the present perfect or present continuous tense

STILL is very rare in negative sentences.

JUST:

Just is used for an action that was recently completed

ex. She has just finished eating.

* Commonly used with the present perfect tense!

YET :  

  'Yet' is used :

   - to ask if something expected has happened :  ex. Has the mail arrived yet?  

   - to say that something expected hasn't happened :   ex. The postman hasn't    arrived yet.

YET is rare in positive statements.  But,  it can be used in positive questions.

* Commonly used with the present perfect tense!

ANYMORE:

Anymore is used to show that a situation has changed.

Anymore goes at the end of the sentence

ex. I don’t play basketball anymore.

* Commonly used with the past tense!