Here is the list of collations under UTF-8
mysql> select * from information_schema.collations where CHARACTER_SET_NAME = 'utf8';
+--------------------+--------------------+-----+------------+-------------+---------+
| COLLATION_NAME | CHARACTER_SET_NAME | ID | IS_DEFAULT | IS_COMPILED | SORTLEN |
+--------------------+--------------------+-----+------------+-------------+---------+
| utf8_general_ci | utf8 | 33 | Yes | Yes | 1 |
| utf8_bin | utf8 | 83 | | Yes | 1 |
| utf8_unicode_ci | utf8 | 192 | | Yes | 8 |
| utf8_icelandic_ci | utf8 | 193 | | Yes | 8 |
| utf8_latvian_ci | utf8 | 194 | | Yes | 8 |
| utf8_romanian_ci | utf8 | 195 | | Yes | 8 |
| utf8_slovenian_ci | utf8 | 196 | | Yes | 8 |
| utf8_polish_ci | utf8 | 197 | | Yes | 8 |
| utf8_estonian_ci | utf8 | 198 | | Yes | 8 |
| utf8_spanish_ci | utf8 | 199 | | Yes | 8 |
| utf8_swedish_ci | utf8 | 200 | | Yes | 8 |
| utf8_turkish_ci | utf8 | 201 | | Yes | 8 |
| utf8_czech_ci | utf8 | 202 | | Yes | 8 |
| utf8_danish_ci | utf8 | 203 | | Yes | 8 |
| utf8_lithuanian_ci | utf8 | 204 | | Yes | 8 |
| utf8_slovak_ci | utf8 | 205 | | Yes | 8 |
| utf8_spanish2_ci | utf8 | 206 | | Yes | 8 |
| utf8_roman_ci | utf8 | 207 | | Yes | 8 |
| utf8_persian_ci | utf8 | 208 | | Yes | 8 |
| utf8_esperanto_ci | utf8 | 209 | | Yes | 8 |
| utf8_hungarian_ci | utf8 | 210 | | Yes | 8 |
| utf8_sinhala_ci | utf8 | 211 | | Yes | 8 |
+--------------------+--------------------+-----+------------+-------------+---------+
22 rows in set (0.03 sec)
latin1_swedish_ci
belongs to latin1
mysql> select * from information_schema.collations where COLLATION_NAME = 'latin1_swedish_ci';
+-------------------+--------------------+----+------------+-------------+---------+
| COLLATION_NAME | CHARACTER_SET_NAME | ID | IS_DEFAULT | IS_COMPILED | SORTLEN |
+-------------------+--------------------+----+------------+-------------+---------+
| latin1_swedish_ci | latin1 | 8 | Yes | Yes | 1 |
+-------------------+--------------------+----+------------+-------------+---------+
1 row in set (0.03 sec)
The closest utf8 for your collation is ID 200
mysql> select * from information_schema.collations where ID = 200;
+-----------------+--------------------+-----+------------+-------------+---------+
| COLLATION_NAME | CHARACTER_SET_NAME | ID | IS_DEFAULT | IS_COMPILED | SORTLEN |
+-----------------+--------------------+-----+------------+-------------+---------+
| utf8_swedish_ci | utf8 | 200 | | Yes | 8 |
+-----------------+--------------------+-----+------------+-------------+---------+
1 row in set (0.00 sec)
CAVEAT
You may have to experiment with latin1, change the character set and collation of the individual column in the table, or possibly both. At the very least, use latin1 for display in phpmyadmin.
You could tweek and experiment with making the entire database a specific character set and collation using ALTER DATABASE.
ALTER DATABASE dbname CHARACTER SET utf8 COLLATE utf8_general_ci;
Make sure you make a backup of the database and load it into a dev/staging DB and then run ALTER DATABASE against dev/staging.