All done on the Stable (Latest) release, with Full screen on, on Windows Vista, with an NVIDIA GeForce 7200GS (no integrated option, I believe), using a mouse and keyboard, with my monitor refresh rate set to 60hz.
With Compatibility Mode off, I crash during songs, and it even has a generic Windows crash message when closing to switch to Compatibility Mode. But that's probably because gl_info.txt says I'm using OpenGL 2.1.2 after being in non-Compatibility mode, as my graphics card is old.
I believe I also have the slight rewinding issue on lag with Compatibility Mode off, but I didn't try much, since I believe non-Compatibility Mode is intended for OpenGL 4.0.
In Compatibility Mode, my cursor sometimes doesn't move as far as it should. It may possibly be caused by lag spikes and/or lag in general, as it tends to happen less with videos off than it does with videos on. Lagging on earlier versions did not inhibit my cursor movement.
My in-game FPS while playing a song with a video that I can't play smoothly is around 20-40, on songs with no video/storyboard (or with such turned off) it's around 45-60, and on a song with a video that I can play smoothly, it's around 30-40. I can exceed 60 FPS sometimes outside of active gameplay; the game states that the limiter is 240 FPS the majority of the time (though I've seen it say 60hz a few times for about 1 song).
One time, the game had a generic Windows crash message when I closed it with Compatibility Mode on.
gl_info.txt, after closing in Compatibility mode:
SPOILERGL Version: OpenGL ES 2.0 (ANGLE 2.1.0.8afe1e1b8397)
GL Renderer: ANGLE (NVIDIA GeForce 7300 SE/7200 GS Direct3D9Ex vs_3_0 ps_3_0)
GL Shader Language version: OpenGL ES GLSL ES 1.00 (ANGLE 2.1.0.8afe1e1b8397)
GL Vendor: Google Inc.
GL Extensions: GL_OES_element_index_uint GL_OES_packed_depth_stencil GL_OES_get_program_binary GL_OES_rgb8_rgba8 GL_EXT_texture_format_BGRA8888 GL_EXT_read_format_bgra GL_OES_texture_half_float GL_OES_texture_half_float_linear GL_OES_texture_float GL_EXT_texture_compression_dxt1 GL_ANGLE_texture_compression_dxt3 GL_ANGLE_texture_compression_dxt5 GL_EXT_texture_storage GL_OES_texture_npot GL_EXT_texture_filter_anisotropic GL_EXT_occlusion_query_boolean GL_NV_fence GL_EXT_robustness GL_EXT_blend_minmax GL_ANGLE_framebuffer_blit GL_ANGLE_framebuffer_multisample GL_ANGLE_instanced_arrays GL_ANGLE_pack_reverse_row_order GL_OES_standard_derivatives GL_EXT_shader_texture_lod GL_EXT_frag_depth GL_ANGLE_texture_usage GL_ANGLE_translated_shader_source GL_EXT_debug_marker
GL Context: Index: 9284180, Color: 32 (8888), Depth: 16, Stencil: 0, Samples: 0, Accum: 0 (0000), Buffers: 2, Stereo: False