diff --git a/crates/bevy_pbr/src/material.rs b/crates/bevy_pbr/src/material.rs
index 1979e995e6..7465260a63 100644
--- a/crates/bevy_pbr/src/material.rs
+++ b/crates/bevy_pbr/src/material.rs
@@ -52,6 +52,7 @@ use bevy_render::{
 };
 use bevy_render::{mesh::allocator::MeshAllocator, sync_world::MainEntityHashMap};
 use bevy_render::{texture::FallbackImage, view::RenderVisibleEntities};
+use bevy_utils::Parallel;
 use core::{hash::Hash, marker::PhantomData};
 use tracing::error;
 
@@ -832,14 +833,18 @@ pub fn check_entities_needing_specialization<M>(
             With<MeshMaterial3d<M>>,
         ),
     >,
+    mut par_local: Local<Parallel<Vec<Entity>>>,
     mut entities_needing_specialization: ResMut<EntitiesNeedingSpecialization<M>>,
 ) where
     M: Material,
 {
     entities_needing_specialization.clear();
-    for entity in &needs_specialization {
-        entities_needing_specialization.push(entity);
-    }
+
+    needs_specialization
+        .par_iter()
+        .for_each(|entity| par_local.borrow_local_mut().push(entity));
+
+    par_local.drain_into(&mut entities_needing_specialization);
 }
 
 pub fn specialize_material_meshes<M: Material>(
diff --git a/crates/bevy_pbr/src/prepass/mod.rs b/crates/bevy_pbr/src/prepass/mod.rs
index 7b70df38aa..a13a5487da 100644
--- a/crates/bevy_pbr/src/prepass/mod.rs
+++ b/crates/bevy_pbr/src/prepass/mod.rs
@@ -268,20 +268,22 @@ type PreviousMeshFilter = Or<(With<Mesh3d>, With<MeshletMesh3d>)>;
 pub fn update_mesh_previous_global_transforms(
     mut commands: Commands,
     views: Query<&Camera, Or<(With<Camera3d>, With<ShadowView>)>>,
-    meshes: Query<(Entity, &GlobalTransform, Option<&PreviousGlobalTransform>), PreviousMeshFilter>,
+    new_meshes: Query<
+        (Entity, &GlobalTransform),
+        (PreviousMeshFilter, Without<PreviousGlobalTransform>),
+    >,
+    mut meshes: Query<(&GlobalTransform, &mut PreviousGlobalTransform), PreviousMeshFilter>,
 ) {
     let should_run = views.iter().any(|camera| camera.is_active);
 
     if should_run {
-        for (entity, transform, old_previous_transform) in &meshes {
+        for (entity, transform) in &new_meshes {
             let new_previous_transform = PreviousGlobalTransform(transform.affine());
-            // Make sure not to trigger change detection on
-            // `PreviousGlobalTransform` if the previous transform hasn't
-            // changed.
-            if old_previous_transform != Some(&new_previous_transform) {
-                commands.entity(entity).try_insert(new_previous_transform);
-            }
+            commands.entity(entity).try_insert(new_previous_transform);
         }
+        meshes.par_iter_mut().for_each(|(transform, mut previous)| {
+            previous.set_if_neq(PreviousGlobalTransform(transform.affine()));
+        });
     }
 }
 
diff --git a/crates/bevy_render/src/view/visibility/range.rs b/crates/bevy_render/src/view/visibility/range.rs
index 86e75733c5..74ac212bf3 100644
--- a/crates/bevy_render/src/view/visibility/range.rs
+++ b/crates/bevy_render/src/view/visibility/range.rs
@@ -15,13 +15,13 @@ use bevy_ecs::{
     removal_detection::RemovedComponents,
     resource::Resource,
     schedule::IntoScheduleConfigs as _,
-    system::{Query, Res, ResMut},
+    system::{Local, Query, Res, ResMut},
 };
 use bevy_math::{vec4, FloatOrd, Vec4};
 use bevy_platform_support::collections::HashMap;
 use bevy_reflect::Reflect;
 use bevy_transform::components::GlobalTransform;
-use bevy_utils::prelude::default;
+use bevy_utils::{prelude::default, Parallel};
 use nonmax::NonMaxU16;
 use wgpu::{BufferBindingType, BufferUsages};
 
@@ -385,7 +385,8 @@ impl VisibleEntityRanges {
 pub fn check_visibility_ranges(
     mut visible_entity_ranges: ResMut<VisibleEntityRanges>,
     view_query: Query<(Entity, &GlobalTransform), With<Camera>>,
-    mut entity_query: Query<(Entity, &GlobalTransform, Option<&Aabb>, &VisibilityRange)>,
+    mut par_local: Local<Parallel<Vec<(Entity, u32)>>>,
+    entity_query: Query<(Entity, &GlobalTransform, Option<&Aabb>, &VisibilityRange)>,
 ) {
     visible_entity_ranges.clear();
 
@@ -404,30 +405,34 @@ pub fn check_visibility_ranges(
 
     // Check each entity/view pair. Only consider entities with
     // [`VisibilityRange`] components.
-    for (entity, entity_transform, maybe_model_aabb, visibility_range) in entity_query.iter_mut() {
-        let mut visibility = 0;
-        for (view_index, &(_, view_position)) in views.iter().enumerate() {
-            // If instructed to use the AABB and the model has one, use its
-            // center as the model position. Otherwise, use the model's
-            // translation.
-            let model_position = match (visibility_range.use_aabb, maybe_model_aabb) {
-                (true, Some(model_aabb)) => entity_transform
-                    .affine()
-                    .transform_point3a(model_aabb.center),
-                _ => entity_transform.translation_vec3a(),
-            };
+    entity_query.par_iter().for_each(
+        |(entity, entity_transform, maybe_model_aabb, visibility_range)| {
+            let mut visibility = 0;
+            for (view_index, &(_, view_position)) in views.iter().enumerate() {
+                // If instructed to use the AABB and the model has one, use its
+                // center as the model position. Otherwise, use the model's
+                // translation.
+                let model_position = match (visibility_range.use_aabb, maybe_model_aabb) {
+                    (true, Some(model_aabb)) => entity_transform
+                        .affine()
+                        .transform_point3a(model_aabb.center),
+                    _ => entity_transform.translation_vec3a(),
+                };
 
-            if visibility_range.is_visible_at_all((view_position - model_position).length()) {
-                visibility |= 1 << view_index;
+                if visibility_range.is_visible_at_all((view_position - model_position).length()) {
+                    visibility |= 1 << view_index;
+                }
             }
-        }
 
-        // Invisible entities have no entry at all in the hash map. This speeds
-        // up checks slightly in this common case.
-        if visibility != 0 {
-            visible_entity_ranges.entities.insert(entity, visibility);
-        }
-    }
+            // Invisible entities have no entry at all in the hash map. This speeds
+            // up checks slightly in this common case.
+            if visibility != 0 {
+                par_local.borrow_local_mut().push((entity, visibility));
+            }
+        },
+    );
+
+    visible_entity_ranges.entities.extend(par_local.drain());
 }
 
 /// Extracts all [`VisibilityRange`] components from the main world to the
diff --git a/crates/bevy_sprite/src/mesh2d/material.rs b/crates/bevy_sprite/src/mesh2d/material.rs
index a9401a8144..5df02cfc7b 100644
--- a/crates/bevy_sprite/src/mesh2d/material.rs
+++ b/crates/bevy_sprite/src/mesh2d/material.rs
@@ -45,6 +45,7 @@ use bevy_render::{
     view::{ExtractedView, ViewVisibility},
     Extract, ExtractSchedule, Render, RenderApp, RenderSet,
 };
+use bevy_utils::Parallel;
 use core::{hash::Hash, marker::PhantomData};
 use derive_more::derive::From;
 use tracing::error;
@@ -660,14 +661,18 @@ pub fn check_entities_needing_specialization<M>(
             With<MeshMaterial2d<M>>,
         ),
     >,
+    mut par_local: Local<Parallel<Vec<Entity>>>,
     mut entities_needing_specialization: ResMut<EntitiesNeedingSpecialization<M>>,
 ) where
     M: Material2d,
 {
     entities_needing_specialization.clear();
-    for entity in &needs_specialization {
-        entities_needing_specialization.push(entity);
-    }
+
+    needs_specialization
+        .par_iter()
+        .for_each(|entity| par_local.borrow_local_mut().push(entity));
+
+    par_local.drain_into(&mut entities_needing_specialization);
 }
 
 pub fn specialize_material2d_meshes<M: Material2d>(