diff --git a/ci/PKGBUILD b/ci/PKGBUILD
index b760838f5ea32..188e2e220bd47 100644
--- a/ci/PKGBUILD
+++ b/ci/PKGBUILD
@@ -27,6 +27,7 @@ license=("Apache-2.0")
 depends=("${MINGW_PACKAGE_PREFIX}-boost"
          "${MINGW_PACKAGE_PREFIX}-double-conversion"
          "${MINGW_PACKAGE_PREFIX}-thrift"
+         "${MINGW_PACKAGE_PREFIX}-snappy"
          "${MINGW_PACKAGE_PREFIX}-zlib")
 makedepends=("${MINGW_PACKAGE_PREFIX}-cmake"
              "${MINGW_PACKAGE_PREFIX}-gcc")
@@ -72,13 +73,9 @@ build() {
     -DCMAKE_BUILD_TYPE=${cmake_build_type} \
     -DARROW_BUILD_STATIC=ON \
     -DARROW_BUILD_SHARED=OFF \
-    -DARROW_BUILD_TESTS=OFF \
     -DARROW_PARQUET=ON \
-    -DARROW_PLASMA=OFF \
     -DARROW_HDFS=OFF \
-    -DARROW_PYTHON=OFF \
     -DARROW_BOOST_USE_SHARED=OFF \
-    -DARROW_WITH_SNAPPY=OFF \
     -DARROW_WITH_ZSTD=OFF \
     -DARROW_WITH_LZ4=OFF \
     -DARROW_JEMALLOC=OFF \
@@ -90,6 +87,7 @@ build() {
     -Ddouble-conversion_ROOT="${MINGW_PREFIX}" \
     -DThrift_ROOT="${MINGW_PREFIX}"
 
+  # Workaround for a compile error that appears with GCC 4.9.3
   sed -i 's/-fPIC/ /g' flatbuffers_ep-prefix/src/flatbuffers_ep-stamp/flatbuffers_ep-configure-RELEASE.cmake
 
   make
diff --git a/ci/windows-pkg-arrow-for-r.sh b/ci/windows-pkg-arrow-for-r.sh
index fdcf7120c127f..3ef51fa8835b9 100644
--- a/ci/windows-pkg-arrow-for-r.sh
+++ b/ci/windows-pkg-arrow-for-r.sh
@@ -49,6 +49,9 @@ wget https://dl.bintray.com/rtools/backports/mingw-w64-x86_64-thrift-0.12.0-8000
 # double-conversion is only available in the Rtools4.0 builds, but apparently that's ok
 wget https://dl.bintray.com/rtools/mingw64/mingw-w64-x86_64-double-conversion-3.1.2-1-any.pkg.tar.xz
 wget https://dl.bintray.com/rtools/mingw32/mingw-w64-i686-double-conversion-3.1.2-1-any.pkg.tar.xz
+# And snappy
+wget https://dl.bintray.com/rtools/mingw32/mingw-w64-i686-snappy-1.1.7-2-any.pkg.tar.xz
+wget https://dl.bintray.com/rtools/mingw64/mingw-w64-x86_64-snappy-1.1.7-2-any.pkg.tar.xz
 ls | xargs -n 1 tar -xJf
 cd ..