The GeeoDirectory REST API supports search and filtering.

Here are parameters that can be used as filters

context						"Scope under which the request is made; determines fields present in response." 
page						"Current page of the collection." 
per_page					"Maximum number of items to be returned in result set." 
search						"Limit results to those matching a string." 
after						"Limit response to posts published after a given ISO8601 compliant date." 
modified_after					"Limit response to posts modified after a given ISO8601 compliant date." 
author						"Limit result set to posts assigned to specific authors." 
author_exclude					"Ensure result set excludes posts assigned to specific authors." 
before						"Limit response to posts published before a given ISO8601 compliant date." 
modified_before					"Limit response to posts modified before a given ISO8601 compliant date." 
exclude						"Ensure result set excludes specific IDs." 
include						"Limit result set to specific IDs." 
offset						"Offset the result set by a specific number of items." 
order						"Order sort attribute ascending or descending." 
orderby						"Sort collection by object attribute." 
slug						"Limit result set to posts with one or more specific slugs." 
status						"Limit result set to posts assigned one or more statuses." 
tax_relation					"Limit result set based on relationship between multiple taxonomies." 
country						"Limit results to specific country." 
region						"Limit results to specific region." 
city						"Limit results to specific city." 
neighbourhood					"Limit results to specific neighbourhood." 
near						"Filter posts by near address. Ex: 230 Vine Street, Philadelphia" 
ip						"IP to find nearest posts." 
latitude					"Filter by latitude. Ex: 39.9558230481." 
longitude					"Filter by longitude. Ex: -75.1440811157." 
distance					"Filter posts within distance xx miles." 
gd_place_tags					"Limit result set to all items that have the specified term assigned in the gd_place_tags taxonomy." 
gd_place_tags_exclude				"Limit result set to all items except those that have the specified term assigned in the gd_place_tags taxonomy." 
gd_placecategory				"Limit result set to all items that have the specified term assigned in the gd_placecategory taxonomy." 
gd_placecategory_exclude			"Limit result set to all items except those that have the specified term assigned in the gd_placecategory taxonomy."