You can actually consider the following queries to be synonyms in MySQL:
SELECT *
FROM Table1
CROSS JOIN Table2;
SELECT *
FROM Table1, Table2;
SELECT *
FROM Table1
INNER JOIN Table2;
SELECT *
FROM Table1
JOIN Table2;
Test Case:
CREATE TABLE Table1 (id int, value varchar(10));
CREATE TABLE Table2 (id int, t1_id int);
INSERT INTO Table1 VALUES (1, 'Value 1');
INSERT INTO Table1 VALUES (2, 'Value 2');
INSERT INTO Table1 VALUES (3, 'Value 3');
INSERT INTO Table1 VALUES (4, 'Value 4');
INSERT INTO Table2 VALUES (1, 1);
INSERT INTO Table2 VALUES (2, 1);
INSERT INTO Table2 VALUES (3, 2);
INSERT INTO Table2 VALUES (4, 2);
INSERT INTO Table2 VALUES (5, 2);
INSERT INTO Table2 VALUES (6, 3);
INSERT INTO Table2 VALUES (7, 4);
INSERT INTO Table2 VALUES (8, 4);
INSERT INTO Table2 VALUES (9, 4);
All four queries would return the following result set:
+------+---------+------+-------+
| id | value | id | t1_id |
+------+---------+------+-------+
| 1 | Value 1 | 1 | 1 |
| 2 | Value 2 | 1 | 1 |
| 3 | Value 3 | 1 | 1 |
| 4 | Value 4 | 1 | 1 |
| 1 | Value 1 | 2 | 1 |
| 2 | Value 2 | 2 | 1 |
| 3 | Value 3 | 2 | 1 |
| 4 | Value 4 | 2 | 1 |
| 1 | Value 1 | 3 | 2 |
| 2 | Value 2 | 3 | 2 |
| 3 | Value 3 | 3 | 2 |
| 4 | Value 4 | 3 | 2 |
| 1 | Value 1 | 4 | 2 |
| 2 | Value 2 | 4 | 2 |
| 3 | Value 3 | 4 | 2 |
| 4 | Value 4 | 4 | 2 |
| 1 | Value 1 | 5 | 2 |
| 2 | Value 2 | 5 | 2 |
| 3 | Value 3 | 5 | 2 |
| 4 | Value 4 | 5 | 2 |
| 1 | Value 1 | 6 | 3 |
| 2 | Value 2 | 6 | 3 |
| 3 | Value 3 | 6 | 3 |
| 4 | Value 4 | 6 | 3 |
| 1 | Value 1 | 7 | 4 |
| 2 | Value 2 | 7 | 4 |
| 3 | Value 3 | 7 | 4 |
| 4 | Value 4 | 7 | 4 |
| 1 | Value 1 | 8 | 4 |
| 2 | Value 2 | 8 | 4 |
| 3 | Value 3 | 8 | 4 |
| 4 | Value 4 | 8 | 4 |
| 1 | Value 1 | 9 | 4 |
| 2 | Value 2 | 9 | 4 |
| 3 | Value 3 | 9 | 4 |
| 4 | Value 4 | 9 | 4 |
+------+---------+------+-------+
36 rows in set (0.01 sec)