For Solr, see https://solr.apache.org/guide/solr/latest/query-guide/morelikethis.html (should be similar to Elasticsearch)

@burki thank you for your help. Added it to the description. If you know others supporting it let me know.

RediSearch might support vector queries similar to Typesense, https://redis.io/blog/rediscover-redis-for-vector-similarity-search/ though I never used RedisSearch myself.

Algolia has https://www.algolia.com/doc/api-reference/api-parameters/similarQuery/
It looks like you have to extract fitting terms for building up similarQuery from a matching result by yourself:

$results = $index->search('', [ 
  'similarQuery' => 'Comedy Drama Crime McDormand Macy Buscemi Stormare Presnell Coen', 
  'filters' => 'year:1991 TO 2001'
]);