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This website allows teachers to make an account, then add a student account for each of their students. The games track the students' progress on each game.
Each game or set of games relates to a standard.
There are skip counting games for 2s, 5s, 10s, and 100s. The games pose the problem that a person is skip counting by 2s  (5s, 10s, or 100s, depending on which game you're playing) and asks the player to identify which number comes next after a given number. The game also shows a number chart with the skip counting numbers highlighted,

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Splash Math is an award winning math program used by more than 20 Million kids for fun math practice. It includes unlimited math lessons on number counting, addition, subtraction etc.

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count by 100s

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'Learning to Count | Counting By 100's | Brain Breaks | Kid's Songs | Jack Hartmann' on ViewPure

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This super fun count by 100\'s song will really help your children learn how to count by 100\'s to 1,000. The melody and rhythm are so catchy that the counting by 100\'s will simply stick in their brain, and they\'ll always remember.

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These videos will allow students to listen to and repeat, or sing along with, the songs as they count by 2s, 5s, 10s, and 100s.
The counting robot song shows 10 frames as they count by 5s and 10s.
(Also, I used viewpure.com, so that no suggested videos or ads would show.)

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'Counting Robot (counting by 2s, 5s, & 10s for kids)' on ViewPure

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Students will design their own number chart to represent skip counting by using colors to highlight the numbers as they skip count by 2s, 5s, and 10s. Depending on the purpose of the lesson, I would either ask them to skip count by a certain number (2s, 5s, or 10s) or I would ask them to choose their own number (2s, 5s, or 10s). Then, they would design/highlight their own number chart to show how to skip count by that number.

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ABCya! * Number Chart - Use to Learn Number Patterns & More

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The interactive number chart is a great way for students to discover number patterns, skip count, and learn multiplication tables. Color the interactive number charts to find patterns in numbers or use them for counting exercises. Children can print their charts too!

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This website is an interactive number line. I would project this on the SMART board and have the students sit in front of it. For this activity, I would tell my students whether I am skip counting by 2s, 5s, or 10s, then draw it out on the number line by drawing curved lines that connect to the numbers I am counting. Sometimes I willl make a mistake and other times I won't. I will have the students discuss in groups or pairs whether they believe I am correct or not. If I made a mistake, I will have the students point out where I made it and explain to me (and the class) why it is wrong. Then, I would have a student come up and correct my mistake.

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Number Line helps students visualize number sequences and demonstrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing.

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This website has a lot of different games students can play that hit several of the different levels of the Bloom's Taxonomy. This game that I found allows students to read a scenario in which a person starts at a number and reaches another higher number by skip counting. The children are asked whether that person could have skip counted by 2s, 5s, and 10s to reach that second number. Another scenario the students can be presented with is that a person starts at a number and is counting  by 2s (or 5s or 10s, depending on the question). The students are asked whether that person can reach a given number (such as 92) if he is skip counting by 2s.
This game asks yes or no questions, so I would have the students write out their explanations of why they think the answer is yes or no, or I would have them work in pairs and explain to their partner.

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Practicing Second grade math: 'Skip-counting puzzles'

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Fun math practice! Improve your skills with free problems in 'Skip-counting puzzles' and thousands of other practice lessons.

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2.NBT.2.  Count within 1000; skip count by 2s, 5s, 10s, and 100s