I highly recommend the Kodak PlaySport zx5.
I purchased mine a year ago for about $150, but I believe they are down to $130-140 now. It has removable SD storage, records in multiple resolutions including 1080p HD, is waterproof up to 3 meters, and shockproof up to 1.5 meters.
This camera can take a beating, and it records video, audio, and still images in very good quality. It is also very easy to use, you just click one button on the back to start recording, and click the same button to stop. It is a "vlogger" type camera.
Product Specifications
Sensor type
1 / 3.2–type 5 MP CMOS
Lens
5.5 mm, 35 mm equivalent
Zoom
4X digital
Image stabilization
digital
Display size
2.0 in. 112K TFT color LCD, 4:3, auto brightness control, LCD Glare Shield
Storage
128 MB internal memory[1], SD/SDHC card expansion slot (up to 32 GB)
File formats
video: MPEG-4, AAC-LC
still: JPEG/EXIF v2.21
Video length
~10 hours of HD video with the expandable SD/SDHC memory card slot up to 32 GB (~20 min. per 1 GB at 720p HD @ 30 fps)
Focus system
continuous TTL multizone auto focus (auto macro)
Focus range
auto: 10 cm–infinity
macro: 7–17 cm
auto underwater: 13 cm–infinity
macro underwater: 10–22 cm
Face Detection
yes
Capture modes
1080p (16:9)—1920 x 1080, 30 fps
720p (16:9)—1280 x 720, 60 fps
720p (16:9)—1280 x 720, 30 fps
WVGA (16:9)—848 x 480, 30 fps
still (16:9)—5.3 MP
Capture effects
vivid color, normal color, sepia, B&W, high saturation, 1970's film look
Weather/Outdoor ratings
waterproof—IEC 60529 IPX8, up to 10 ft
dustproof—IEC 60529 IP6X
shockproof—MIL-STD-810F, 5 ft. onto plywood
Review mode
delete, playback, FF, rewind, pause, volume control, tagging, Share, e-mail, add e-mail
Editing options (video)
trim, extract pictures
Share destinations
FACEBOOK, FLICKR, KODAK Gallery[2], YouTube, TWITTER, ORKUT, YANDEX and KAIXIN001 sites[3], e-mail, and KODAK PULSE Digital Frame[4]
I/O interface
micro USB (2.0 high speed)/AV out/5V DC charging; micro HDMI (type D)
Tripod mount
1/4 in. standard
Microphone
yes—monaural
Speaker
yes—monaural
Power
internal Li-Ion battery (service replaceable), in-camera charging
Dedicated buttons
power, capture, review, menu, 5-way switch, delete, Share
Remote control
optional
Dimensions
2.3 × 4.4 × 0.7 in.
Weight
125 g