What is the (default) charset for:
- MySQL database 
- MySQL table 
- MySQL column 
What is the (default) charset for:
MySQL database
MySQL table
MySQL column
 
    
     
    
    Here's how I'd do it -
For Schemas (or Databases - they are synonyms):
SELECT default_character_set_name FROM information_schema.SCHEMATA 
WHERE schema_name = "mydatabasename";
For Tables:
SELECT CCSA.character_set_name FROM information_schema.`TABLES` T,
       information_schema.`COLLATION_CHARACTER_SET_APPLICABILITY` CCSA
WHERE CCSA.collation_name = T.table_collation
  AND T.table_schema = "mydatabasename"
  AND T.table_name = "tablename";
For Columns:
SELECT character_set_name FROM information_schema.`COLUMNS` 
WHERE table_schema = "mydatabasename"
  AND table_name = "tablename"
  AND column_name = "columnname";
 
    
     
    
    For databases:
USE your_database_name;
show variables like "character_set_database";
-- or:
-- show variables like "collation_database";
Cf. this page. And check out the MySQL manual
For all the databases you have on the server:
mysql> SELECT SCHEMA_NAME 'database', default_character_set_name 'charset', DEFAULT_COLLATION_NAME 'collation' FROM information_schema.SCHEMATA;
Output:
+----------------------------+---------+--------------------+
| database                   | charset | collation          |
+----------------------------+---------+--------------------+
| information_schema         | utf8    | utf8_general_ci    |
| my_database                | latin1  | latin1_swedish_ci  |
...
+----------------------------+---------+--------------------+
For a single Database:
mysql> USE my_database;
mysql> show variables like "character_set_database";
Output:
    +----------------------------+---------+
    | Variable_name              |  Value  |
    +----------------------------+---------+
    | character_set_database     |  latin1 | 
    +----------------------------+---------+
Getting the collation for Tables:
mysql> USE my_database;
mysql> SHOW TABLE STATUS WHERE NAME LIKE 'my_tablename';
OR - will output the complete SQL for create table:
mysql> show create table my_tablename 
Getting the collation of columns:
mysql> SHOW FULL COLUMNS FROM my_tablename;
output:
+---------+--------------+--------------------+ ....
| field   | type         | collation          |
+---------+--------------+--------------------+ ....
| id      | int(10)      | (NULL)             |
| key     | varchar(255) | latin1_swedish_ci  |
| value   | varchar(255) | latin1_swedish_ci  |
+---------+--------------+--------------------+ ....
 
    
    For tables:
SHOW TABLE STATUS will list all the tables.
Filter using:
SHOW TABLE STATUS where name like 'table_123';
To see default collation of the database:
USE db_name;
SELECT @@character_set_database, @@collation_database;
To see collation of the table:
SHOW TABLE STATUS where name like 'table_name';
To see collation of the columns:
SHOW FULL COLUMNS FROM table_name;
To see the default character set of a table
SHOW CREATE TABLE table_name;
 
    
    For databases:
Just use these commands:
USE db_name;
SELECT @@character_set_database;
-- or:
-- SELECT @@collation_database;
SELECT TABLE_SCHEMA,
       TABLE_NAME,
       CCSA.CHARACTER_SET_NAME AS DEFAULT_CHAR_SET,
       COLUMN_NAME,
       COLUMN_TYPE,
       C.CHARACTER_SET_NAME
  FROM information_schema.TABLES AS T
  JOIN information_schema.COLUMNS AS C USING (TABLE_SCHEMA, TABLE_NAME)
  JOIN information_schema.COLLATION_CHARACTER_SET_APPLICABILITY AS CCSA
       ON (T.TABLE_COLLATION = CCSA.COLLATION_NAME)
 WHERE TABLE_SCHEMA=SCHEMA()
   AND C.DATA_TYPE IN ('enum', 'varchar', 'char', 'text', 'mediumtext', 'longtext')
 ORDER BY TABLE_SCHEMA,
          TABLE_NAME,
          COLUMN_NAME
;
 
    
    I always just look at SHOW CREATE TABLE mydatabase.mytable.
For the database, it appears you need to look at SELECT DEFAULT_CHARACTER_SET_NAME FROM information_schema.SCHEMATA.
 
    
    For tables and columns:
show create table your_table_name
For databases:
SELECT SCHEMA_NAME 'database', default_character_set_name 'charset', DEFAULT_COLLATION_NAME 'collation' FROM information_schema.SCHEMATA;
Example output:
mysql> SELECT SCHEMA_NAME 'database', default_character_set_name 'charset', DEFAULT_COLLATION_NAME 'collation' FROM information_schema.SCHEMATA;
+----------------------------+---------+--------------------+
| database                   | charset | collation          |
+----------------------------+---------+--------------------+
| information_schema         | utf8    | utf8_general_ci    |
| drupal_demo1               | utf8    | utf8_general_ci    |
| drupal_demo2               | utf8    | utf8_general_ci    |
| drupal_demo3               | utf8    | utf8_general_ci    |
| drupal_demo4               | utf8    | utf8_general_ci    |
| drupal_demo5               | latin1  | latin1_swedish_ci  |
...
+----------------------------+---------+--------------------+
55 rows in set (0.00 sec)
mysql> 
For databases:
SHOW CREATE DATABASE "DB_NAME_HERE";
In creating a Database (MySQL), default character set/collation is always LATIN, instead that you have selected a different one on initially creating your database
As many wrote earlier, SHOW FULL COLUMNS should be the preferred method to get column information. What's missing is a way to get charset after that without reaching metadata tables directly:
SHOW FULL COLUMNS FROM my_table WHERE Field = 'my_field'
SHOW COLLATION WHERE Collation = 'collation_you_got'
 
    
    show global variables where variable_name like 'character_set_%' or variable_name like 'collation%'
 
    
    Just cheat sheet for somebody who wants to get table name, column name, and character set together for multiple tables all at once.
SELECT TABLE_NAME, COLUMN_NAME, character_set_name FROM information_schema.`COLUMNS`
WHERE table_schema = "MY_DATABASE"
  AND table_name in ("tableFoo", "tableBar");
The expected output:
mysql> SELECT TABLE_NAME, COLUMN_NAME, character_set_name FROM information_schema.`COLUMNS`
    -> WHERE table_schema = "MY_DATABASE"
    ->   AND table_name in ("tableFoo", "tableBar");
+------------+---------------------+--------------------+
| TABLE_NAME | COLUMN_NAME         | character_set_name |
+------------+---------------------+--------------------+
| tableFoo   | foo1                | NULL               |
| tableFoo   | foo2                | utf8mb4            |
| tableFoo   | foo3                | NULL               |
| tableFoo   | foo4                | utf8mb4            |
| tableFoo   | foo5                | NULL               |
| tableBar   | bar1                | NULL               |
| tableBar   | bar2                | NULL               |
| tableBar   | bar3                | utf8mb4            |
| tableBar   | bar4                | NULL               |
| tableBar   | bar5                | NULL               |
| tableBar   | bar6                | NULL               |
+------------+---------------------+--------------------+
 
    
    When creating a new database, some necessary table will be generated
in "information_schema" this path
"COLUMNS"->about columns

"TABLES"->about table

For example, if you need to see all the column names and types in a table
SELECT COLUMN_NAME,COLUMN_TYPE FROM information_schema.COLUMNS WHERE TABLE_SCHEMA = 'your_schema_name' AND TABLE_NAME = 'your_table_name'