Pattern matching operators
LIKE (~~) is simple and fast but limited in its capabilities.
ILIKE (~~*) the case insensitive variant.
~ (regular expression match) is powerful but more complex and may be slow for anything more than basic expressions.
~* is the case insensitive variant.
SIMILAR TO is just pointless. A peculiar blend of LIKE and regular expressions. I never use it. See below.
All of the above can use a trigram index. For left-anchored patterns, also a B-tree index using COLLATE "C". Or with any other collation and the operator class text_pattern_ops. Or even an SP-GiST index. See below.
Basics about pattern matching in the manual.
Related operators
^@ is "starts with" operator (for prefix matching), equivalent to the starts_with() function.
Added with Postgres 11, can use an SP-GiST index. Since Postgres 15 also a B-tree index using a "C" collation. See below.
% is the "similarity" operator, provided by the additional module pg_trgm. See below.
@@ is the text search operator. See below.
Your query
... is pretty much the optimum. Syntax won't get much shorter, query won't get much faster:
SELECT name FROM spelers
WHERE name LIKE 'B%' OR name LIKE 'D%'
ORDER BY 1;
Or equivalent, using regular expressions:
... WHERE name ~ '^B' OR name ~ '^D'
A bit shorter (can use the same index in modern Postgres):
... WHERE name LIKE ANY ('{B%,D%}')
... WHERE name ~ ANY ('{^B,^D}')
A regular expression with branches shortens the syntax some more:
... WHERE name ~ '^(B|D).*'
Or a character class (only for the case with a single character):
... WHERE name ~ '^[BD].*'
For big tables, index support improves performance by orders of magnitude.
Postgres 11 added the "starts with" operator ^@- fast when supported with an SP-GiST index:
... WHERE name ^@ 'B' OR name ^@ 'D'
Or:
... WHERE name ^@ ANY ('{B,D}')
Since Postgres 15 the first variant can also use a B-tree index using COLLATE "C".
db<>fiddle here
Index
For performance with big tables, create an index like this supporting left-anchored search patterns (matching from the start of the string):
CREATE INDEX spelers_name_special_idx ON spelers (name COLLATE "C");
Requires per-column collation support added with Postgres 9.1.
See:
In DBs running with the "C" locale (uncommon), a plain B-tree index does the job.
In older versions (or still today), the special operator class text_pattern_ops fills the same role:
CREATE INDEX spelers_name_special_idx ON spelers (name text_pattern_ops);
SIMILAR TO or regular expressions with basic left-anchored expressions can use this index, too. Very old versions failed to use the index for more complex expressions.
Or use an expression index on a truncated substring for columns with long strings, and repeat the same expression in queries.
Or use the ^@ operator with a matching index.
Trigram matching
Trigram matches or text search use special GIN or GiST indexes.
You can install the additional module pg_trgm to provide index support for any LIKE / ILIKE pattern (and simple regexp patterns with ~ / ~*) using a GIN or GiST index.
Details, example and links:
pg_trgm provides additional operators like:
% - the "similarity" operator
<% (commutator: %>) - the "word_similarity" operator in Postgres 9.6 or later
<<% (commutator: %>>) - the "strict_word_similarity" operator in Postgres 11 or later
Text search
Is a special type of pattern matching with separate infrastructure and index types. It uses dictionaries and stemming and is a great tool to find words in documents, especially for natural languages.
Prefix matching is also supported:
Phrase search is supported since Postgres 9.6:
Consider introductions in the manual and the overview of operators and functions.
Additional tools for fuzzy string matching
The additional module fuzzystrmatch offers more options, but performance is generally inferior to all of the above.
In particular, various implementations of the levenshtein() function may be instrumental.
Why are regular expressions (~) always faster than SIMILAR TO?
SIMILAR TO expressions are rewritten into regular expressions internally. For every SIMILAR TO expression, there is at least one faster regular expression (saving the overhead of rewriting the expression). There is no performance gain in using SIMILAR TO ever.
Simple expressions that can make do with LIKE (~~) are faster with LIKE anyway.
SIMILAR TO is only supported in PostgreSQL because it ended up in early drafts of the SQL standard. They still haven't gotten rid of it. But there are plans to remove it and include regexp matches instead - or so I heard.
EXPLAIN ANALYZE reveals it. Just try yourself:
EXPLAIN ANALYZE
SELECT * FROM spelers WHERE name SIMILAR TO 'B%';
The query plan reveals:
...
Seq Scan on spelers (cost= ...
Filter: (name ~ '^(?:B.*)$'::text)
SIMILAR TO has been rewritten with a regular expression (~).