Hi, Maddy. Majority of videos are presented in FLV. format that can display well in most browsers. More professional software that’s specialized in recording screen. Snagit is more likely to be used for taking screenshots.
Way 1. Capture with recording programs
Considering that Snagit produces low quality videos, Apowersoft Screen Recorder Pro will be the perfect solution, for it can record videos which are not available to download on their sites.

It can help you record video from web browser or anything you want to record on your screen. You can choose to record your full screen or just a part of your screen. Moreover, you can also record a video and audio synchronized with each other. You can choose whether to record audio from your computer system, from the microphone or both. Follow these simple steps to do so.

Step 1: Go to Apowersoft Screen Recorder Pro page and download the tool.
Step 2: Install and launch the application.
Step 3: Stream the video you want to record on browser.
Step 4: Click on “Record” tab and choose whether to record the full screen or just the video playback window.
Step 5: Play the video you want to record.
Step 6: Start recording. If you want to finalize your recording, press “Stop”.
Additionally, this tool is not just for the purpose of recording anything on your screen. It can also be used in recording videos directly from your webcam. With this tool, you can add subtitles and add other effects on the video. Furthermore, it can also be used in cropping and trimming videos. Not only that, this application can also be used in merging multiple videos. It also allows users to convert videos in different formats like AVI, MP4, FLV, SWF, 3GP, MKV, MPEG.
Way 2. Capture with online application
Aside from the Apowersoft Screen Recorder Pro which can be used to record video from web browser, one of the easiest ways to capture browser videos is with Free Online Video downloader – a download-helper site.

This is a free online downloader which is so easy to use. Moreover, it can help you download videos from more than 10,000 video sites. What is good about this is that it is compatible with any web browsers and it provides all the available formats for videos. It is 100% safe and clean and it does not require any registration or fee. To start downloading a video follow the steps that follows:
Step 1: Go to Apowersoft Free Online Video Downloader page.
Step 2: Copy the link of the video.
Step 3: On the free online video downloader page, paste the URL to address bar.
Step 4: Click “Download”.
I hope that these two options will help you solve your problem. With the help of these tools, you may now record high quality videos and you may not face any video recording problem anymore. Moreover, these tools can also help you with any other things because of the special features they possess.