So do you want to "rewrite" some C code in C++ to think you made a point? I think you should do C# or Java.
What about you do xxHash? Should be quite basic, not a lot of complicated structures. https://github.com/Cyan4973/xxHash/blob/dev/xxhash.h
Or what about you do an audio or video codec? Or an operating system?
Not going to paste any of my own code, because any non-trivial stuff is hundreds to thousands of lines. But one more example (that I recently did myself): Create a block allocator (power of two blocks) with bookkeeping in shadow memory (administered in individually committed zones representing virtual memory regions of 64 MB (2^26)). Any used memory has bookkeeping support for being sub-allocated at any and all levels up from 64 KB (2^16) to 64 MB (2^26), and even higher (by joining committed regions). Individual blocks are collected (using intrinsic linking, because no memory allocation) in a hierarchy of pools of same-sized chunks that have the same parent, and can be recursively sub-allocated on any smaller chosen power-of-2 level, and finally be consumed in linear fashion (arenas). Blocks are pooled with a moderate retain policy (watermark system) to allow subsystems to almost completely avoid any system calls and avoid inter-thread synchronisation. The memory overhead must be below 1% even though it's totally flexible (as said has metadata for all levels from 64 KB up).
The bookkeeping should function on 32-bit systems (small virtual space, occupancy range from megabytes to 3 GB) as well 64-bit systems (2^48-2^57 bytes of virtual address space, occupancy range from megabytes to hundreds of gigabytes) with reasonable overhead compared to actual usage.
This requires intrusively linked lists, occupancy bitmasks, bit-counting and bit-prefix counting, OS syscall access (virtual memory), pointer arithmetic (alignment needed to address shadow bookkeeping memory) and thread synchronisation. The reference code is >> 95% pure ISO C++11 (could be C99 with few changes), with a little platform code glued in. It works on Windows but it could be ported to Linux in a few hours. It supports a mostly-immediate-mode GUI with hundreds of thousands (maybe millions?) of small variable-sized allocations per second. Allocation has almost completely disappeared from the CPU profile, well below 1% of CPU usage.