diff --git a/openapi_core/exceptions.py b/openapi_core/exceptions.py
index 6ce0572..0d33884 100644
--- a/openapi_core/exceptions.py
+++ b/openapi_core/exceptions.py
@@ -6,19 +6,6 @@ class OpenAPIError(Exception):
     pass
 
 
-class OpenAPIMediaTypeError(OpenAPIError):
-    pass
-
-
-@attr.s(hash=True)
-class InvalidContentType(OpenAPIMediaTypeError):
-    mimetype = attr.ib()
-
-    def __str__(self):
-        return "Content for following mimetype not found: {0}".format(
-            self.mimetype)
-
-
 class OpenAPIParameterError(OpenAPIError):
     pass
 
@@ -67,7 +54,3 @@ class MissingResponseContent(OpenAPIResponseError):
 
     def __str__(self):
         return "Missing response content"
-
-
-class OpenAPISchemaError(OpenAPIError):
-    pass
diff --git a/openapi_core/validation/request/shortcuts.py b/openapi_core/validation/request/shortcuts.py
index 55e2c9e..8539f9d 100644
--- a/openapi_core/validation/request/shortcuts.py
+++ b/openapi_core/validation/request/shortcuts.py
@@ -1,19 +1,8 @@
 """OpenAPI core validation request shortcuts module"""
 import warnings
 
-from openapi_core.exceptions import (
-    OpenAPIMediaTypeError, OpenAPIParameterError, OpenAPIRequestBodyError,
-    OpenAPISchemaError,
-)
 from openapi_core.validation.request.validators import RequestValidator
 
-ERRORS_BODY = (
-    OpenAPIRequestBodyError, OpenAPIMediaTypeError, OpenAPISchemaError,
-)
-ERRORS_PARAMETERS = (
-    OpenAPIParameterError,
-)
-
 
 def validate_request(validator, request, failsafe=None):
     if failsafe is None:
diff --git a/tests/unit/unmarshalling/test_validate.py b/tests/unit/unmarshalling/test_validate.py
index 8dad170..b73c341 100644
--- a/tests/unit/unmarshalling/test_validate.py
+++ b/tests/unit/unmarshalling/test_validate.py
@@ -4,7 +4,6 @@ import mock
 import pytest
 
 from openapi_core.extensions.models.models import Model
-from openapi_core.exceptions import OpenAPISchemaError
 from openapi_core.spec.paths import SpecPath
 from openapi_core.unmarshalling.schemas.factories import (
     SchemaUnmarshallersFactory,
@@ -55,8 +54,6 @@ class TestSchemaValidate(object):
 
         assert result is None
 
-    @pytest.mark.xfail(
-        reason="validation does not care about custom formats atm")
     def test_string_format_custom_missing(self, validator_factory):
         custom_format = 'custom'
         spec = {
@@ -66,7 +63,7 @@ class TestSchemaValidate(object):
         schema = SpecPath.from_spec(spec)
         value = 'x'
 
-        with pytest.raises(OpenAPISchemaError):
+        with pytest.raises(FormatterNotFoundError):
             validator_factory(schema).validate(value)
 
     @pytest.mark.parametrize('value', [False, True])