diff --git a/homeassistant/components/scrape/config_flow.py b/homeassistant/components/scrape/config_flow.py
index b4305b3948e..7af347acbc5 100644
--- a/homeassistant/components/scrape/config_flow.py
+++ b/homeassistant/components/scrape/config_flow.py
@@ -34,7 +34,7 @@ from homeassistant.const import (
     CONF_VERIFY_SSL,
     HTTP_BASIC_AUTHENTICATION,
     HTTP_DIGEST_AUTHENTICATION,
-    UnitOfTemperature,
+    UNITS_OF_MEASUREMENT,
 )
 from homeassistant.core import async_get_hass
 from homeassistant.helpers import config_validation as cv, entity_registry as er
@@ -124,11 +124,10 @@ SENSOR_SETUP = {
     ),
     vol.Optional(CONF_UNIT_OF_MEASUREMENT): SelectSelector(
         SelectSelectorConfig(
-            options=[cls.value for cls in UnitOfTemperature],
+            options=sorted(UNITS_OF_MEASUREMENT),
             custom_value=True,
             mode=SelectSelectorMode.DROPDOWN,
             translation_key="unit_of_measurement",
-            sort=True,
         )
     ),
 }
diff --git a/homeassistant/components/scrape/strings.json b/homeassistant/components/scrape/strings.json
index 217e69b27df..06e0bd50af8 100644
--- a/homeassistant/components/scrape/strings.json
+++ b/homeassistant/components/scrape/strings.json
@@ -48,7 +48,7 @@
           "value_template": "Defines a template to get the state of the sensor",
           "device_class": "The type/class of the sensor to set the icon in the frontend",
           "state_class": "The state_class of the sensor",
-          "unit_of_measurement": "Choose temperature measurement or create your own"
+          "unit_of_measurement": "Choose a unit of measurement or create your own"
         }
       }
     }
@@ -190,11 +190,6 @@
         "total": "[%key:component::sensor::entity_component::_::state_attributes::state_class::state::total%]",
         "total_increasing": "[%key:component::sensor::entity_component::_::state_attributes::state_class::state::total_increasing%]"
       }
-    },
-    "unit_of_measurement": {
-      "options": {
-        "none": "No unit of measurement"
-      }
     }
   }
 }
diff --git a/homeassistant/const.py b/homeassistant/const.py
index 8da1c251b4e..1ab0ac352f7 100644
--- a/homeassistant/const.py
+++ b/homeassistant/const.py
@@ -1051,6 +1051,58 @@ DATA_RATE_GIBIBYTES_PER_SECOND: Final = "GiB/s"
 """Deprecated: please use UnitOfDataRate.GIBIBYTES_PER_SECOND"""
 
 
+UNITS_OF_MEASUREMENT: Final[frozenset[str]] = frozenset(
+    {
+        unit
+        for unit_type in (
+            UnitOfApparentPower,
+            UnitOfPower,
+            UnitOfEnergy,
+            UnitOfElectricCurrent,
+            UnitOfElectricPotential,
+            UnitOfTemperature,
+            UnitOfTime,
+            UnitOfLength,
+            UnitOfFrequency,
+            UnitOfPressure,
+            UnitOfSoundPressure,
+            UnitOfVolume,
+            UnitOfVolumeFlowRate,
+            UnitOfMass,
+            UnitOfIrradiance,
+            UnitOfVolumetricFlux,
+            UnitOfPrecipitationDepth,
+            UnitOfSpeed,
+            UnitOfInformation,
+            UnitOfDataRate,
+        )
+        for unit in unit_type
+    }
+).union(
+    {
+        POWER_VOLT_AMPERE_REACTIVE,
+        DEGREE,
+        CURRENCY_EURO,
+        CURRENCY_DOLLAR,
+        CURRENCY_CENT,
+        AREA_SQUARE_METERS,
+        CONDUCTIVITY,
+        LIGHT_LUX,
+        UV_INDEX,
+        PERCENTAGE,
+        REVOLUTIONS_PER_MINUTE,
+        CONCENTRATION_MICROGRAMS_PER_CUBIC_METER,
+        CONCENTRATION_MILLIGRAMS_PER_CUBIC_METER,
+        CONCENTRATION_MICROGRAMS_PER_CUBIC_FOOT,
+        CONCENTRATION_PARTS_PER_CUBIC_METER,
+        CONCENTRATION_PARTS_PER_MILLION,
+        CONCENTRATION_PARTS_PER_BILLION,
+        SIGNAL_STRENGTH_DECIBELS,
+        SIGNAL_STRENGTH_DECIBELS_MILLIWATT,
+    }
+)
+
+
 # States
 COMPRESSED_STATE_STATE = "s"
 COMPRESSED_STATE_ATTRIBUTES = "a"